(x+2)(x^2-2x+4)-x(x-3)(x+3)=-26

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Solution for (x+2)(x^2-2x+4)-x(x-3)(x+3)=-26 equation: 


Simplifying
(x + 2)(x2 + -2x + 4) + -1x(x + -3)(x + 3) = -26

Reorder the terms:
(2 + x)(x2 + -2x + 4) + -1x(x + -3)(x + 3) = -26

Reorder the terms:
(2 + x)(4 + -2x + x2) + -1x(x + -3)(x + 3) = -26

Multiply (2 + x) * (4 + -2x + x2)
(2(4 + -2x + x2) + x(4 + -2x + x2)) + -1x(x + -3)(x + 3) = -26
((4 * 2 + -2x * 2 + x2 * 2) + x(4 + -2x + x2)) + -1x(x + -3)(x + 3) = -26
((8 + -4x + 2x2) + x(4 + -2x + x2)) + -1x(x + -3)(x + 3) = -26
(8 + -4x + 2x2 + (4 * x + -2x * x + x2 * x)) + -1x(x + -3)(x + 3) = -26
(8 + -4x + 2x2 + (4x + -2x2 + x3)) + -1x(x + -3)(x + 3) = -26

Reorder the terms:
(8 + -4x + 4x + 2x2 + -2x2 + x3) + -1x(x + -3)(x + 3) = -26

Combine like terms: -4x + 4x = 0
(8 + 0 + 2x2 + -2x2 + x3) + -1x(x + -3)(x + 3) = -26
(8 + 2x2 + -2x2 + x3) + -1x(x + -3)(x + 3) = -26

Combine like terms: 2x2 + -2x2 = 0
(8 + 0 + x3) + -1x(x + -3)(x + 3) = -26
(8 + x3) + -1x(x + -3)(x + 3) = -26

Reorder the terms:
8 + x3 + -1x(-3 + x)(x + 3) = -26

Reorder the terms:
8 + x3 + -1x(-3 + x)(3 + x) = -26

Multiply (-3 + x) * (3 + x)
8 + x3 + -1x(-3(3 + x) + x(3 + x)) = -26
8 + x3 + -1x((3 * -3 + x * -3) + x(3 + x)) = -26
8 + x3 + -1x((-9 + -3x) + x(3 + x)) = -26
8 + x3 + -1x(-9 + -3x + (3 * x + x * x)) = -26
8 + x3 + -1x(-9 + -3x + (3x + x2)) = -26

Combine like terms: -3x + 3x = 0
8 + x3 + -1x(-9 + 0 + x2) = -26
8 + x3 + -1x(-9 + x2) = -26
8 + x3 + (-9 * -1x + x2 * -1x) = -26
8 + x3 + (9x + -1x3) = -26

Reorder the terms:
8 + 9x + x3 + -1x3 = -26

Combine like terms: x3 + -1x3 = 0
8 + 9x + 0 = -26
8 + 9x = -26

Solving
8 + 9x = -26

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 + 9x = -26 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = -26 + -8
9x = -26 + -8

Combine like terms: -26 + -8 = -34
9x = -34

Divide each side by '9'.
x = -3.777777778

Simplifying
x = -3.777777778

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