0=(8x-16)(x+15)

Solution for 0=(8x-16)(x+15) equation:

Simplifying
0 = (8x + -16)(x + 15)

Reorder the terms:
0 = (-16 + 8x)(x + 15)

Reorder the terms:
0 = (-16 + 8x)(15 + x)

Multiply (-16 + 8x) * (15 + x)
0 = (-16(15 + x) + 8x * (15 + x))
0 = ((15 * -16 + x * -16) + 8x * (15 + x))
0 = ((-240 + -16x) + 8x * (15 + x))
0 = (-240 + -16x + (15 * 8x + x * 8x))
0 = (-240 + -16x + (120x + 8x2))

Combine like terms: -16x + 120x = 104x
0 = (-240 + 104x + 8x2)

Solving
0 = -240 + 104x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + 240 = 240
240 + -104x + -8x2 = -240 + 104x + 8x2 + 240 + -104x + -8x2

Reorder the terms:
240 + -104x + -8x2 = -240 + 240 + 104x + -104x + 8x2 + -8x2

Combine like terms: -240 + 240 = 0
240 + -104x + -8x2 = 0 + 104x + -104x + 8x2 + -8x2
240 + -104x + -8x2 = 104x + -104x + 8x2 + -8x2

Combine like terms: 104x + -104x = 0
240 + -104x + -8x2 = 0 + 8x2 + -8x2
240 + -104x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
240 + -104x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(30 + -13x + -1x2) = 0

Factor a trinomial.
8((2 + -1x)(15 + x)) = 0

Ignore the factor 8.
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 '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 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 + x = 0 + -15

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

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

Simplifying
x = -15
Solution
x = {2, -15}