(2x-9)(x)=56

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Solution for (2x-9)(x)=56 equation: 


Simplifying
(2x + -9)(x) = 56

Reorder the terms:
(-9 + 2x)(x) = 56

Reorder the terms for easier multiplication:
x(-9 + 2x) = 56
(-9 * x + 2x * x) = 56
(-9x + 2x2) = 56

Solving
-9x + 2x2 = 56

Solving for variable 'x'.

Reorder the terms:
-56 + -9x + 2x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + -9x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
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
Solution
x = {-3.5, 8}

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