x^2-11x-37=-2x-1

Solution for x^2-11x-37=-2x-1 equation:

Simplifying
x2 + -11x + -37 = -2x + -1

Reorder the terms:
-37 + -11x + x2 = -2x + -1

Reorder the terms:
-37 + -11x + x2 = -1 + -2x

Solving
-37 + -11x + x2 = -1 + -2x

Solving for variable 'x'.

Reorder the terms:
-37 + 1 + -11x + 2x + x2 = -1 + -2x + 1 + 2x

Combine like terms: -37 + 1 = -36
-36 + -11x + 2x + x2 = -1 + -2x + 1 + 2x

Combine like terms: -11x + 2x = -9x
-36 + -9x + x2 = -1 + -2x + 1 + 2x

Reorder the terms:
-36 + -9x + x2 = -1 + 1 + -2x + 2x

Combine like terms: -1 + 1 = 0
-36 + -9x + x2 = 0 + -2x + 2x
-36 + -9x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-36 + -9x + x2 = 0

Factor a trinomial.
(-3 + -1x)(12 + -1x) = 0

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-3, 12}