15x=(x+4)(x-4)

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Solution for 15x=(x+4)(x-4) equation: 


Simplifying
15x = (x + 4)(x + -4)

Reorder the terms:
15x = (4 + x)(x + -4)

Reorder the terms:
15x = (4 + x)(-4 + x)

Multiply (4 + x) * (-4 + x)
15x = (4(-4 + x) + x(-4 + x))
15x = ((-4 * 4 + x * 4) + x(-4 + x))
15x = ((-16 + 4x) + x(-4 + x))
15x = (-16 + 4x + (-4 * x + x * x))
15x = (-16 + 4x + (-4x + x2))

Combine like terms: 4x + -4x = 0
15x = (-16 + 0 + x2)
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}

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