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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (1+(2.78*(x+20))/(x+1420))/1+(2.78*x)/(x+1400) = 1.12 .
    Question type: Equation
    Solution:Original question:
     (1 + (
139
50
( x + 20)) ÷ ( x + 1420)) ÷ 1 + (
139
50
x ) ÷ ( x + 1400) =
28
25
     Multiply both sides of the equation by:( x + 1400)
     (1 + (
139
50
( x + 20)) ÷ ( x + 1420)) ÷ 1 × ( x + 1400) + (
139
50
x ) =
28
25
( x + 1400)
    Remove a bracket on the left of the equation::
     1 ÷ 1 × ( x + 1400) + (
139
50
( x + 20)) ÷ ( x + 1420) ÷ 1 × ( x + 1400) + (
139
50
x ) =
28
25
( x + 1400)
    Remove a bracket on the right of the equation::
     1 ÷ 1 × ( x + 1400) + (
139
50
( x + 20)) ÷ ( x + 1420) ÷ 1 × ( x + 1400) + (
139
50
x ) =
28
25
x +
28
25
× 1400
    The equation is reduced to :
     1( x + 1400) + (
139
50
( x + 20)) ÷ ( x + 1420) × 1( x + 1400) + (
139
50
x ) =
28
25
x + 1568
     Multiply both sides of the equation by:( x + 1420)
     1( x + 1400)( x + 1420) + (
139
50
( x + 20)) × 1( x + 1400) + (
139
50
x )( x + 1420) =
28
25
x ( x + 1420) + 1568( x + 1420)
    Remove a bracket on the left of the equation:
     1 x ( x + 1420) + 1 × 1400( x + 1420) + (
139
50
( x + 20)) × 1( x + 1400) + (
139
50
x )( x + 1420) =
28
25
x ( x + 1420) + 1568( x + 1420)
    Remove a bracket on the right of the equation::
     1 x ( x + 1420) + 1 × 1400( x + 1420) + (
139
50
( x + 20)) × 1( x + 1400) + (
139
50
x )( x + 1420) =
28
25
x x +
28
25
x × 1420 + 1568( x + 1420)
    The equation is reduced to :
     1 x ( x + 1420) + 1400( x + 1420) + (
139
50
( x + 20)) × 1( x + 1400) + (
139
50
x )( x + 1420) =
28
25
x x +
7952
5
x + 1568( x + 1420)
    Remove a bracket on the left of the equation:
     1 x x + 1 x × 1420 + 1400( x + 1420) + (
139
50
( x + 20)) × 1( x + 1400) + (
139
50
x ) =
28
25
x x +
7952
5
x + 1568( x + 1420)
    Remove a bracket on the right of the equation::
     1 x x + 1 x × 1420 + 1400( x + 1420) + (
139
50
( x + 20)) × 1( x + 1400) + (
139
50
x ) =
28
25
x x +
7952
5
x + 1568 x + 1568 × 1420
    The equation is reduced to :
     1 x x + 1420 x + 1400( x + 1420) + (
139
50
( x + 20)) × 1( x + 1400) + (
139
50
x )( x + 1420) =
28
25
x x +
7952
5
x + 1568 x + 2226560
    The equation is reduced to :
     1 x x + 1420 x + 1400( x + 1420) + (
139
50
( x + 20)) × 1( x + 1400) + (
139
50
x )( x + 1420) =
28
25
x x +
15792
5
x + 2226560
    Remove a bracket on the left of the equation:
     1 x x + 1420 x + 1400 x + 1400 × 1420 + (
139
50
( x + 20)) × 1( x + 1400) =
28
25
x x +
15792
5
x + 2226560
    The equation is reduced to :
     1 x x + 1420 x + 1400 x + 1988000 + (
139
50
( x + 20)) × 1( x + 1400) + (
139
50
x ) =
28
25
x x +
15792
5
x + 2226560
    The equation is reduced to :
     1 x x + 2820 x + 1988000 + (
139
50
( x + 20)) × 1( x + 1400) + (
139
50
x )( x + 1420) =
28
25
x x +
15792
5
x + 2226560
    Remove a bracket on the left of the equation:
     1 x x + 2820 x + 1988000 +
139
50
( x + 20) × 1( x + 1400) + (
139
50
x )( x + 1420) =
28
25
x x +
15792
5
x + 2226560
    The equation is reduced to :
     1 x x + 2820 x + 1988000 +
139
50
( x + 20)( x + 1400) + (
139
50
x )( x + 1420) =
28
25
x x +
15792
5
x + 2226560
    Remove a bracket on the left of the equation:
     1 x x + 2820 x + 1988000 +
139
50
x ( x + 1400) +
139
50
× 20( x + 1400) =
28
25
x x +
15792
5
x + 2226560
    The equation is reduced to :
     1 x x + 2820 x + 1988000 +
139
50
x ( x + 1400) +
278
5
( x + 1400) + (
139
50
x ) =
28
25
x x +
15792
5
x + 2226560
    Remove a bracket on the left of the equation:
     1 x x + 2820 x + 1988000 +
139
50
x x +
139
50
x × 1400 =
28
25
x x +
15792
5
x + 2226560
    The equation is reduced to :
     1 x x + 2820 x + 1988000 +
139
50
x x + 3892 x +
278
5
=
28
25
x x +
15792
5
x + 2226560
    The equation is reduced to :
     1 x x + 6712 x + 1988000 +
139
50
x x +
278
5
( x + 1400) + (
139
50
x ) =
28
25
x x +
15792
5
x + 2226560
    Remove a bracket on the left of the equation:
     1 x x + 6712 x + 1988000 +
139
50
x x +
278
5
x +
278
5
=
28
25
x x +
15792
5
x + 2226560

    the solutions is:
        x≈20.952236 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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