(2x+4)(6x-48)=0

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Solution for (2x+4)(6x-48)=0 equation: 


Simplifying
(2x + 4)(6x + -48) = 0

Reorder the terms:
(4 + 2x)(6x + -48) = 0

Reorder the terms:
(4 + 2x)(-48 + 6x) = 0

Multiply (4 + 2x) * (-48 + 6x)
(4(-48 + 6x) + 2x * (-48 + 6x)) = 0
((-48 * 4 + 6x * 4) + 2x * (-48 + 6x)) = 0
((-192 + 24x) + 2x * (-48 + 6x)) = 0
(-192 + 24x + (-48 * 2x + 6x * 2x)) = 0
(-192 + 24x + (-96x + 12x2)) = 0

Combine like terms: 24x + -96x = -72x
(-192 + -72x + 12x2) = 0

Solving
-192 + -72x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-16 + -6x + x2) = 0

Factor a trinomial.
12((-2 + -1x)(8 + -1x)) = 0

Ignore the factor 12.

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 '(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 = {-2, 8}

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