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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 150/0.65/250 = 4/22+1/(22x)+6/(13x)+3/(4x)+6/(5.5x) .
    Question type: Equation
    Solution:Original question:
     150 ÷
13
20
÷ 250 = 4 ÷ 22 + 1 ÷ (22 x ) + 6 ÷ (13 x ) + 3 ÷ (4 x ) + 6 ÷ (
11
2
x )
     Multiply both sides of the equation by:(22 x )
     150 ÷
13
20
÷ 250 × (22 x ) = 4 ÷ 22 × (22 x ) + 1 + 6 ÷ (13 x ) × (22 x ) + 3 ÷ (4 x ) × (22 x ) + 6 ÷ (
11
2
x )
    Remove a bracket on the left of the equation::
     150 ÷
13
20
÷ 250 × 22 x = 4 ÷ 22 × (22 x ) + 1 + 6 ÷ (13 x ) × (22 x ) + 3 ÷ (4 x ) × (22 x ) + 6 ÷ (
11
2
x )
    Remove a bracket on the right of the equation::
     150 ÷
13
20
÷ 250 × 22 x = 4 ÷ 22 × 22 x + 1 + 6 ÷ (13 x ) × (22 x ) + 3 ÷ (4 x ) × (22 x ) + 6
    The equation is reduced to :
     
264
13
x = 4 x + 1 + 6 ÷ (13 x ) × (22 x ) + 3 ÷ (4 x ) × (22 x ) + 6 ÷ (
11
2
x ) × (22 x )
     Multiply both sides of the equation by:(13 × 1)
     
264
13
x (13 × 1) = 4 x (13 × 1) + 1(13 × 1) + 6(22 × 1) + 3 ÷ (4 × 1) × (22 × 1)(13 × 1) + 6
    Remove a bracket on the left of the equation:
     
264
13
x × 13 × 1 = 4 x (13 × 1) + 1(13 × 1) + 6(22 × 1) + 3 ÷ (4 × 1) × (22 × 1)(13 × 1) + 6
    Remove a bracket on the right of the equation::
     
264
13
x × 13 × 1 = 4 x × 13 × 1 + 1(13 × 1) + 6(22 × 1) + 3 ÷ (4 × 1) × (22 × 1)(13 × 1)
    The equation is reduced to :
     264 x = 52 x + 1(13 × 1) + 6(22 × 1) + 3 ÷ (4 × 1) × (22 × 1)(13 × 1) + 6 ÷ (
11
2
× 1)
     Multiply both sides of the equation by:(4 × 1)
     264 x (4 × 1) = 52 x (4 × 1) + 1(13 × 1)(4 × 1) + 6(22 × 1)(4 × 1) + 3(22 × 1)(13 × 1)
    Remove a bracket on the left of the equation:
     264 x × 4 × 1 = 52 x (4 × 1) + 1(13 × 1)(4 × 1) + 6(22 × 1)(4 × 1) + 3(22 × 1)(13 × 1)
    Remove a bracket on the right of the equation::
     264 x × 4 × 1 = 52 x × 4 × 1 + 1(13 × 1)(4 × 1) + 6(22 × 1)(4 × 1) + 3(22 × 1)
    The equation is reduced to :
     1056 x = 208 x + 1(13 × 1)(4 × 1) + 6(22 × 1)(4 × 1) + 3(22 × 1)(13 × 1) + 6
     Multiply both sides of the equation by:(
11
2
× 1)
     1056 x (
11
2
× 1) = 208 x (
11
2
× 1) + 1(13 × 1)(4 × 1)(
11
2
× 1) + 6(22 × 1)(4 × 1)(
11
2
× 1) + 3
    Remove a bracket on the left of the equation:
     1056 x ×
11
2
× 1 = 208 x (
11
2
× 1) + 1(13 × 1)(4 × 1)(
11
2
× 1) + 6(22 × 1)(4 × 1)(
11
2
× 1) + 3
    Remove a bracket on the right of the equation::
     1056 x ×
11
2
× 1 = 208 x ×
11
2
× 1 + 1(13 × 1)(4 × 1)(
11
2
× 1) + 6(22 × 1)(4 × 1)(
11
2
× 1)
    The equation is reduced to :
     5808 x = 1144 x + 1(13 × 1)(4 × 1)(
11
2
× 1) + 6(22 × 1)(4 × 1)(
11
2
× 1) + 3(22 × 1)
    Remove a bracket on the right of the equation::
     5808 x = 1144 x + 1 × 13 × 1(4 × 1)(
11
2
× 1) + 6(22 × 1)(4 × 1)(
11
2
× 1) + 3
    The equation is reduced to :
     5808 x = 1144 x + 13(4 × 1)(
11
2
× 1) + 6(22 × 1)(4 × 1)(
11
2
× 1) + 3(22 × 1)(13 × 1)
    Remove a bracket on the right of the equation::
     5808 x = 1144 x + 13 × 4 × 1(
11
2
× 1) + 6(22 × 1)(4 × 1)(
11
2
× 1) + 3(22 × 1)
    The equation is reduced to :
     5808 x = 1144 x + 52(
11
2
× 1) + 6(22 × 1)(4 × 1)(
11
2
× 1) + 3(22 × 1)(13 × 1)(
11
2
× 1)
    Remove a bracket on the right of the equation::
     5808 x = 1144 x + 52 ×
11
2
× 1 + 6(22 × 1)(4 × 1)(
11
2
× 1) + 3(22 × 1)(13 × 1)

    
        x≈3.167453 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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