(x-2)(x^2+2x+4)-x^2(x-18)=0

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Solution for (x-2)(x^2+2x+4)-x^2(x-18)=0 equation: 


Simplifying
(x + -2)(x2 + 2x + 4) + -1x2(x + -18) = 0

Reorder the terms:
(-2 + x)(x2 + 2x + 4) + -1x2(x + -18) = 0

Reorder the terms:
(-2 + x)(4 + 2x + x2) + -1x2(x + -18) = 0

Multiply (-2 + x) * (4 + 2x + x2)
(-2(4 + 2x + x2) + x(4 + 2x + x2)) + -1x2(x + -18) = 0
((4 * -2 + 2x * -2 + x2 * -2) + x(4 + 2x + x2)) + -1x2(x + -18) = 0
((-8 + -4x + -2x2) + x(4 + 2x + x2)) + -1x2(x + -18) = 0
(-8 + -4x + -2x2 + (4 * x + 2x * x + x2 * x)) + -1x2(x + -18) = 0
(-8 + -4x + -2x2 + (4x + 2x2 + x3)) + -1x2(x + -18) = 0

Reorder the terms:
(-8 + -4x + 4x + -2x2 + 2x2 + x3) + -1x2(x + -18) = 0

Combine like terms: -4x + 4x = 0
(-8 + 0 + -2x2 + 2x2 + x3) + -1x2(x + -18) = 0
(-8 + -2x2 + 2x2 + x3) + -1x2(x + -18) = 0

Combine like terms: -2x2 + 2x2 = 0
(-8 + 0 + x3) + -1x2(x + -18) = 0
(-8 + x3) + -1x2(x + -18) = 0

Reorder the terms:
-8 + x3 + -1x2(-18 + x) = 0
-8 + x3 + (-18 * -1x2 + x * -1x2) = 0
-8 + x3 + (18x2 + -1x3) = 0

Reorder the terms:
-8 + 18x2 + x3 + -1x3 = 0

Combine like terms: x3 + -1x3 = 0
-8 + 18x2 + 0 = 0
-8 + 18x2 = 0

Solving
-8 + 18x2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 18x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 18x2 = 0 + 8
18x2 = 0 + 8

Combine like terms: 0 + 8 = 8
18x2 = 8

Divide each side by '18'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

Take the square root of each side:
x = {-0.666666667, 0.666666667}

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