x^2-14=8x+6

Solution for x^2-14=8x+6 equation:

Simplifying
x2 + -14 = 8x + 6

Reorder the terms:
-14 + x2 = 8x + 6

Reorder the terms:
-14 + x2 = 6 + 8x

Solving
-14 + x2 = 6 + 8x

Solving for variable 'x'.

Reorder the terms:
-14 + -6 + -8x + x2 = 6 + 8x + -6 + -8x

Combine like terms: -14 + -6 = -20
-20 + -8x + x2 = 6 + 8x + -6 + -8x

Reorder the terms:
-20 + -8x + x2 = 6 + -6 + 8x + -8x

Combine like terms: 6 + -6 = 0
-20 + -8x + x2 = 0 + 8x + -8x
-20 + -8x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-20 + -8x + x2 = 0

Factor a trinomial.
(-2 + -1x)(10 + -1x) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

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