36=(4x-7)x

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Solution for 36=(4x-7)x equation: 


Simplifying
36 = (4x + -7) * x

Reorder the terms:
36 = (-7 + 4x) * x

Reorder the terms for easier multiplication:
36 = x(-7 + 4x)
36 = (-7 * x + 4x * x)
36 = (-7x + 4x2)

Solving
36 = -7x + 4x2

Solving for variable 'x'.

Reorder the terms:
36 + 7x + -4x2 = -7x + 7x + 4x2 + -4x2

Combine like terms: -7x + 7x = 0
36 + 7x + -4x2 = 0 + 4x2 + -4x2
36 + 7x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
36 + 7x + -4x2 = 0

Factor a trinomial.
(4 + -1x)(9 + 4x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25
Solution
x = {4, -2.25}

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