x^2+11x-67=-7

Solution for x^2+11x-67=-7 equation:

Simplifying
x2 + 11x + -67 = -7

Reorder the terms:
-67 + 11x + x2 = -7

Solving
-67 + 11x + x2 = -7

Solving for variable 'x'.

Reorder the terms:
-67 + 7 + 11x + x2 = -7 + 7

Combine like terms: -67 + 7 = -60
-60 + 11x + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
-60 + 11x + x2 = 0

Factor a trinomial.
(-15 + -1x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-15, 4}