=8(x+4)(x+15)

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Solution for =8(x+4)(x+15) equation: 


Simplifying
0 = 8(x + 4)(x + 15)

Reorder the terms:
0 = 8(4 + x)(x + 15)

Reorder the terms:
0 = 8(4 + x)(15 + x)

Multiply (4 + x) * (15 + x)
0 = 8(4(15 + x) + x(15 + x))
0 = 8((15 * 4 + x * 4) + x(15 + x))
0 = 8((60 + 4x) + x(15 + x))
0 = 8(60 + 4x + (15 * x + x * x))
0 = 8(60 + 4x + (15x + x2))

Combine like terms: 4x + 15x = 19x
0 = 8(60 + 19x + x2)
0 = (60 * 8 + 19x * 8 + x2 * 8)
0 = (480 + 152x + 8x2)

Solving
0 = 480 + 152x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + -480 = -480
-480 + -152x + -8x2 = 480 + 152x + 8x2 + -480 + -152x + -8x2

Reorder the terms:
-480 + -152x + -8x2 = 480 + -480 + 152x + -152x + 8x2 + -8x2

Combine like terms: 480 + -480 = 0
-480 + -152x + -8x2 = 0 + 152x + -152x + 8x2 + -8x2
-480 + -152x + -8x2 = 152x + -152x + 8x2 + -8x2

Combine like terms: 152x + -152x = 0
-480 + -152x + -8x2 = 0 + 8x2 + -8x2
-480 + -152x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-480 + -152x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-8'.
-8(60 + 19x + x2) = 0

Factor a trinomial.
-8((15 + x)(4 + x)) = 0

Ignore the factor -8.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-15, -4}

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