8(x+2)+8(x-2)=3(x^2-4)

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Solution for 8(x+2)+8(x-2)=3(x^2-4) equation: 


Simplifying
8(x + 2) + 8(x + -2) = 3(x2 + -4)

Reorder the terms:
8(2 + x) + 8(x + -2) = 3(x2 + -4)
(2 * 8 + x * 8) + 8(x + -2) = 3(x2 + -4)
(16 + 8x) + 8(x + -2) = 3(x2 + -4)

Reorder the terms:
16 + 8x + 8(-2 + x) = 3(x2 + -4)
16 + 8x + (-2 * 8 + x * 8) = 3(x2 + -4)
16 + 8x + (-16 + 8x) = 3(x2 + -4)

Reorder the terms:
16 + -16 + 8x + 8x = 3(x2 + -4)

Combine like terms: 16 + -16 = 0
0 + 8x + 8x = 3(x2 + -4)
8x + 8x = 3(x2 + -4)

Combine like terms: 8x + 8x = 16x
16x = 3(x2 + -4)

Reorder the terms:
16x = 3(-4 + x2)
16x = (-4 * 3 + x2 * 3)
16x = (-12 + 3x2)

Solving
16x = -12 + 3x2

Solving for variable 'x'.

Reorder the terms:
12 + 16x + -3x2 = -12 + 3x2 + 12 + -3x2

Reorder the terms:
12 + 16x + -3x2 = -12 + 12 + 3x2 + -3x2

Combine like terms: -12 + 12 = 0
12 + 16x + -3x2 = 0 + 3x2 + -3x2
12 + 16x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
12 + 16x + -3x2 = 0

Factor a trinomial.
(6 + -1x)(2 + 3x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {6, -0.6666666667}

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