x=-2x^2-32x-126

Solution for x=-2x^2-32x-126 equation:

Simplifying
x = -2x2 + -32x + -126

Reorder the terms:
x = -126 + -32x + -2x2

Solving
x = -126 + -32x + -2x2

Solving for variable 'x'.

Reorder the terms:
126 + x + 32x + 2x2 = -126 + -32x + -2x2 + 126 + 32x + 2x2

Combine like terms: x + 32x = 33x
126 + 33x + 2x2 = -126 + -32x + -2x2 + 126 + 32x + 2x2

Reorder the terms:
126 + 33x + 2x2 = -126 + 126 + -32x + 32x + -2x2 + 2x2

Combine like terms: -126 + 126 = 0
126 + 33x + 2x2 = 0 + -32x + 32x + -2x2 + 2x2
126 + 33x + 2x2 = -32x + 32x + -2x2 + 2x2

Combine like terms: -32x + 32x = 0
126 + 33x + 2x2 = 0 + -2x2 + 2x2
126 + 33x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
126 + 33x + 2x2 = 0

Factor a trinomial.
(21 + 2x)(6 + x) = 0

Subproblem 1
Set the factor '(21 + 2x)' equal to zero and attempt to solve:

Simplifying
21 + 2x = 0

Solving
21 + 2x = 0

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

Add '-21' to each side of the equation.
21 + -21 + 2x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 0 + -21
2x = 0 + -21

Combine like terms: 0 + -21 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

Simplifying
x = -6
Solution
x = {-10.5, -6}