156=(2x-1)(x+5)

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Solution for 156=(2x-1)(x+5) equation: 


Simplifying
156 = (2x + -1)(x + 5)

Reorder the terms:
156 = (-1 + 2x)(x + 5)

Reorder the terms:
156 = (-1 + 2x)(5 + x)

Multiply (-1 + 2x) * (5 + x)
156 = (-1(5 + x) + 2x * (5 + x))
156 = ((5 * -1 + x * -1) + 2x * (5 + x))
156 = ((-5 + -1x) + 2x * (5 + x))
156 = (-5 + -1x + (5 * 2x + x * 2x))
156 = (-5 + -1x + (10x + 2x2))

Combine like terms: -1x + 10x = 9x
156 = (-5 + 9x + 2x2)

Solving
156 = -5 + 9x + 2x2

Solving for variable 'x'.

Combine like terms: 156 + 5 = 161
161 + -9x + -2x2 = -5 + 9x + 2x2 + 5 + -9x + -2x2

Reorder the terms:
161 + -9x + -2x2 = -5 + 5 + 9x + -9x + 2x2 + -2x2

Combine like terms: -5 + 5 = 0
161 + -9x + -2x2 = 0 + 9x + -9x + 2x2 + -2x2
161 + -9x + -2x2 = 9x + -9x + 2x2 + -2x2

Combine like terms: 9x + -9x = 0
161 + -9x + -2x2 = 0 + 2x2 + -2x2
161 + -9x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
161 + -9x + -2x2 = 0

Factor a trinomial.
(7 + -1x)(23 + 2x) = 0


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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(23 + 2x)' equal to zero and attempt to solve:

Simplifying
23 + 2x = 0

Solving
23 + 2x = 0

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

Add '-23' to each side of the equation.
23 + -23 + 2x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 2x = 0 + -23
2x = 0 + -23

Combine like terms: 0 + -23 = -23
2x = -23

Divide each side by '2'.
x = -11.5

Simplifying
x = -11.5
Solution
x = {7, -11.5}

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