15x=x^2-16

Solution for 15x=x^2-16 equation:

Simplifying
15x = x2 + -16

Reorder the terms:
15x = -16 + x2

Solving
15x = -16 + x2

Solving for variable 'x'.

Reorder the terms:
16 + 15x + -1x2 = -16 + x2 + 16 + -1x2

Reorder the terms:
16 + 15x + -1x2 = -16 + 16 + x2 + -1x2

Combine like terms: -16 + 16 = 0
16 + 15x + -1x2 = 0 + x2 + -1x2
16 + 15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 15x + -1x2 = 0

Factor a trinomial.
(16 + -1x)(1 + x) = 0

Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {16, -1}