6x(x+8)=768

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Solution for 6x(x+8)=768 equation: 


Simplifying
6x(x + 8) = 768

Reorder the terms:
6x(8 + x) = 768
(8 * 6x + x * 6x) = 768
(48x + 6x2) = 768

Solving
48x + 6x2 = 768

Solving for variable 'x'.

Reorder the terms:
-768 + 48x + 6x2 = 768 + -768

Combine like terms: 768 + -768 = 0
-768 + 48x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-128 + 8x + x2) = 0

Factor a trinomial.
6((-16 + -1x)(8 + -1x)) = 0

Ignore the factor 6.

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 '(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 = {-16, 8}

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