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    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 (((4224/2-1)/x)+2)*(((3168/2-1)/16)+2) = 1120 .
    Question type: Equation
    Solution:Original question:
     (((4224 ÷ 21) ÷ x ) + 2)(((3168 ÷ 21) ÷ 16) + 2) = 1120
    Remove a bracket on the left of the equation::
     ((4224 ÷ 21) ÷ x )(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) = 1120
    Remove a bracket on the left of the equation:
     (4224 ÷ 21) ÷ x × (((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) = 1120
     Multiply both sides of the equation by: x
     (4224 ÷ 21)(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     4224 ÷ 2 × (((3168 ÷ 21) ÷ 16) + 2)1(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    The equation is reduced to :
     2112(((3168 ÷ 21) ÷ 16) + 2)1(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     2112((3168 ÷ 21) ÷ 16) + 2112 × 21(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    The equation is reduced to :
     2112((3168 ÷ 21) ÷ 16) + 42241(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     2112(3168 ÷ 21) ÷ 16 + 42241(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    The equation is reduced to :
     132(3168 ÷ 21) + 42241(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     132 × 3168 ÷ 2132 × 1 + 42241(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    The equation is reduced to :
     209088132 + 42241(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    The equation is reduced to :
     2131801(((3168 ÷ 21) ÷ 16) + 2) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     2131801((3168 ÷ 21) ÷ 16)1 × 2 + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    The equation is reduced to :
     2131801((3168 ÷ 21) ÷ 16)2 + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    The equation is reduced to :
     2131781((3168 ÷ 21) ÷ 16) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     2131781(3168 ÷ 21) ÷ 16 + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    The equation is reduced to :
     213178
1
16
(3168 ÷ 21) + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     213178
1
16
× 3168 ÷ 2 +
1
16
× 1 + 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    The equation is reduced to :
     21317899 +
1
16
+ 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    The equation is reduced to :
     
3409265
16
+ 2(((3168 ÷ 21) ÷ 16) + 2) x = 1120 x
    Remove a bracket on the left of the equation:
     
3409265
16
+ 2((3168 ÷ 21) ÷ 16) x + 2 × 2 x = 1120 x
    The equation is reduced to :
     
3409265
16
+ 2((3168 ÷ 21) ÷ 16) x + 4 x = 1120 x
    Remove a bracket on the left of the equation:
     
3409265
16
+ 2(3168 ÷ 21) ÷ 16 × x + 4 x = 1120 x
    The equation is reduced to :
     
3409265
16
+
1
8
(3168 ÷ 21) x + 4 x = 1120 x
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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