0=3(x^2+6x-16)

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Solution for 0=3(x^2+6x-16) equation: 


Simplifying
0 = 3(x2 + 6x + -16)

Reorder the terms:
0 = 3(-16 + 6x + x2)
0 = (-16 * 3 + 6x * 3 + x2 * 3)
0 = (-48 + 18x + 3x2)

Solving
0 = -48 + 18x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 48 = 48
48 + -18x + -3x2 = -48 + 18x + 3x2 + 48 + -18x + -3x2

Reorder the terms:
48 + -18x + -3x2 = -48 + 48 + 18x + -18x + 3x2 + -3x2

Combine like terms: -48 + 48 = 0
48 + -18x + -3x2 = 0 + 18x + -18x + 3x2 + -3x2
48 + -18x + -3x2 = 18x + -18x + 3x2 + -3x2

Combine like terms: 18x + -18x = 0
48 + -18x + -3x2 = 0 + 3x2 + -3x2
48 + -18x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
48 + -18x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + -6x + -1x2) = 0

Factor a trinomial.
3((2 + -1x)(8 + x)) = 0

Ignore the factor 3.

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 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

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

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

Simplifying
x = -8
Solution
x = {2, -8}

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