330=(2x+2)(x+5)

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Solution for 330=(2x+2)(x+5) equation: 


Simplifying
330 = (2x + 2)(x + 5)

Reorder the terms:
330 = (2 + 2x)(x + 5)

Reorder the terms:
330 = (2 + 2x)(5 + x)

Multiply (2 + 2x) * (5 + x)
330 = (2(5 + x) + 2x * (5 + x))
330 = ((5 * 2 + x * 2) + 2x * (5 + x))
330 = ((10 + 2x) + 2x * (5 + x))
330 = (10 + 2x + (5 * 2x + x * 2x))
330 = (10 + 2x + (10x + 2x2))

Combine like terms: 2x + 10x = 12x
330 = (10 + 12x + 2x2)

Solving
330 = 10 + 12x + 2x2

Solving for variable 'x'.

Combine like terms: 330 + -10 = 320
320 + -12x + -2x2 = 10 + 12x + 2x2 + -10 + -12x + -2x2

Reorder the terms:
320 + -12x + -2x2 = 10 + -10 + 12x + -12x + 2x2 + -2x2

Combine like terms: 10 + -10 = 0
320 + -12x + -2x2 = 0 + 12x + -12x + 2x2 + -2x2
320 + -12x + -2x2 = 12x + -12x + 2x2 + -2x2

Combine like terms: 12x + -12x = 0
320 + -12x + -2x2 = 0 + 2x2 + -2x2
320 + -12x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
320 + -12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(160 + -6x + -1x2) = 0

Factor a trinomial.
2((10 + -1x)(16 + x)) = 0

Ignore the factor 2.

Subproblem 1
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

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

Simplifying
16 + x = 0

Solving
16 + x = 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 + x = 0 + -16

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

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

Simplifying
x = -16
Solution
x = {10, -16}

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