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

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


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

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

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

Reorder the terms:
-8 + 8x + 4x2 = 3(4 + x2)
-8 + 8x + 4x2 = (4 * 3 + x2 * 3)
-8 + 8x + 4x2 = (12 + 3x2)

Solving
-8 + 8x + 4x2 = 12 + 3x2

Solving for variable 'x'.

Reorder the terms:
-8 + -12 + 8x + 4x2 + -3x2 = 12 + 3x2 + -12 + -3x2

Combine like terms: -8 + -12 = -20
-20 + 8x + 4x2 + -3x2 = 12 + 3x2 + -12 + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
-20 + 8x + 1x2 = 12 + 3x2 + -12 + -3x2

Reorder the terms:
-20 + 8x + 1x2 = 12 + -12 + 3x2 + -3x2

Combine like terms: 12 + -12 = 0
-20 + 8x + 1x2 = 0 + 3x2 + -3x2
-20 + 8x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-20 + 8x + 1x2 = 0

Factor a trinomial.
(-10 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
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
Solution
x = {-10, 2}

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