6*x*(x+2)=480

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Solution for 6*x*(x+2)=480 equation: 


Simplifying
6x(x + 2) = 480

Reorder the terms:
6x(2 + x) = 480
(2 * 6x + x * 6x) = 480
(12x + 6x2) = 480

Solving
12x + 6x2 = 480

Solving for variable 'x'.

Reorder the terms:
-480 + 12x + 6x2 = 480 + -480

Combine like terms: 480 + -480 = 0
-480 + 12x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-80 + 2x + x2) = 0

Factor a trinomial.
6((-10 + -1x)(8 + -1x)) = 0

Ignore the factor 6.

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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-10, 8}

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