x^2-14x-101=-6

Solution for x^2-14x-101=-6 equation:

Simplifying
x2 + -14x + -101 = -6

Reorder the terms:
-101 + -14x + x2 = -6

Solving
-101 + -14x + x2 = -6

Solving for variable 'x'.

Reorder the terms:
-101 + 6 + -14x + x2 = -6 + 6

Combine like terms: -101 + 6 = -95
-95 + -14x + x2 = -6 + 6

Combine like terms: -6 + 6 = 0
-95 + -14x + x2 = 0

Factor a trinomial.
(-5 + -1x)(19 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {-5, 19}