(2x-3)(x+8)=126

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Solution for (2x-3)(x+8)=126 equation: 


Simplifying
(2x + -3)(x + 8) = 126

Reorder the terms:
(-3 + 2x)(x + 8) = 126

Reorder the terms:
(-3 + 2x)(8 + x) = 126

Multiply (-3 + 2x) * (8 + x)
(-3(8 + x) + 2x * (8 + x)) = 126
((8 * -3 + x * -3) + 2x * (8 + x)) = 126
((-24 + -3x) + 2x * (8 + x)) = 126
(-24 + -3x + (8 * 2x + x * 2x)) = 126
(-24 + -3x + (16x + 2x2)) = 126

Combine like terms: -3x + 16x = 13x
(-24 + 13x + 2x2) = 126

Solving
-24 + 13x + 2x2 = 126

Solving for variable 'x'.

Reorder the terms:
-24 + -126 + 13x + 2x2 = 126 + -126

Combine like terms: -24 + -126 = -150
-150 + 13x + 2x2 = 126 + -126

Combine like terms: 126 + -126 = 0
-150 + 13x + 2x2 = 0

Factor a trinomial.
(-25 + -2x)(6 + -1x) = 0


Subproblem 1
Set the factor '(-25 + -2x)' equal to zero and attempt to solve:

Simplifying
-25 + -2x = 0

Solving
-25 + -2x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -2x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -2x = 0 + 25
-2x = 0 + 25

Combine like terms: 0 + 25 = 25
-2x = 25

Divide each side by '-2'.
x = -12.5

Simplifying
x = -12.5

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-12.5, 6}

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