0=6x^2-12x-48

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Solution for 0=6x^2-12x-48 equation: 


Simplifying
0 = 6x2 + -12x + -48

Reorder the terms:
0 = -48 + -12x + 6x2

Solving
0 = -48 + -12x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + 48 = 48
48 + 12x + -6x2 = -48 + -12x + 6x2 + 48 + 12x + -6x2

Reorder the terms:
48 + 12x + -6x2 = -48 + 48 + -12x + 12x + 6x2 + -6x2

Combine like terms: -48 + 48 = 0
48 + 12x + -6x2 = 0 + -12x + 12x + 6x2 + -6x2
48 + 12x + -6x2 = -12x + 12x + 6x2 + -6x2

Combine like terms: -12x + 12x = 0
48 + 12x + -6x2 = 0 + 6x2 + -6x2
48 + 12x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
48 + 12x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(8 + 2x + -1x2) = 0

Factor a trinomial.
6((4 + -1x)(2 + x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {4, -2}

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