88=(2x-5)(x)

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Solution for 88=(2x-5)(x) equation: 


Simplifying
88 = (2x + -5)(x)

Reorder the terms:
88 = (-5 + 2x)(x)

Reorder the terms for easier multiplication:
88 = x(-5 + 2x)
88 = (-5 * x + 2x * x)
88 = (-5x + 2x2)

Solving
88 = -5x + 2x2

Solving for variable 'x'.

Reorder the terms:
88 + 5x + -2x2 = -5x + 5x + 2x2 + -2x2

Combine like terms: -5x + 5x = 0
88 + 5x + -2x2 = 0 + 2x2 + -2x2
88 + 5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
88 + 5x + -2x2 = 0

Factor a trinomial.
(8 + -1x)(11 + 2x) = 0


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(11 + 2x)' equal to zero and attempt to solve:

Simplifying
11 + 2x = 0

Solving
11 + 2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 0 + -11
2x = 0 + -11

Combine like terms: 0 + -11 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5
Solution
x = {8, -5.5}

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