x^2-2x=-14x-20

Solution for x^2-2x=-14x-20 equation:

Simplifying
x2 + -2x = -14x + -20

Reorder the terms:
-2x + x2 = -14x + -20

Reorder the terms:
-2x + x2 = -20 + -14x

Solving
-2x + x2 = -20 + -14x

Solving for variable 'x'.

Reorder the terms:
20 + -2x + 14x + x2 = -20 + -14x + 20 + 14x

Combine like terms: -2x + 14x = 12x
20 + 12x + x2 = -20 + -14x + 20 + 14x

Reorder the terms:
20 + 12x + x2 = -20 + 20 + -14x + 14x

Combine like terms: -20 + 20 = 0
20 + 12x + x2 = 0 + -14x + 14x
20 + 12x + x2 = -14x + 14x

Combine like terms: -14x + 14x = 0
20 + 12x + x2 = 0

Factor a trinomial.
(10 + x)(2 + x) = 0

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-10, -2}