(2x+1)(x-1)=-16x-8

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Solution for (2x+1)(x-1)=-16x-8 equation: 


Simplifying
(2x + 1)(x + -1) = -16x + -8

Reorder the terms:
(1 + 2x)(x + -1) = -16x + -8

Reorder the terms:
(1 + 2x)(-1 + x) = -16x + -8

Multiply (1 + 2x) * (-1 + x)
(1(-1 + x) + 2x * (-1 + x)) = -16x + -8
((-1 * 1 + x * 1) + 2x * (-1 + x)) = -16x + -8
((-1 + 1x) + 2x * (-1 + x)) = -16x + -8
(-1 + 1x + (-1 * 2x + x * 2x)) = -16x + -8
(-1 + 1x + (-2x + 2x2)) = -16x + -8

Combine like terms: 1x + -2x = -1x
(-1 + -1x + 2x2) = -16x + -8

Reorder the terms:
-1 + -1x + 2x2 = -8 + -16x

Solving
-1 + -1x + 2x2 = -8 + -16x

Solving for variable 'x'.

Reorder the terms:
-1 + 8 + -1x + 16x + 2x2 = -8 + -16x + 8 + 16x

Combine like terms: -1 + 8 = 7
7 + -1x + 16x + 2x2 = -8 + -16x + 8 + 16x

Combine like terms: -1x + 16x = 15x
7 + 15x + 2x2 = -8 + -16x + 8 + 16x

Reorder the terms:
7 + 15x + 2x2 = -8 + 8 + -16x + 16x

Combine like terms: -8 + 8 = 0
7 + 15x + 2x2 = 0 + -16x + 16x
7 + 15x + 2x2 = -16x + 16x

Combine like terms: -16x + 16x = 0
7 + 15x + 2x2 = 0

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


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

Simplifying
7 + x = 0

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

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

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

Simplifying
x = -7

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-7, -0.5}

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