(x-2)(x^2+2x+4)-x(x-3)(x+3)=28

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Solution for (x-2)(x^2+2x+4)-x(x-3)(x+3)=28 equation:


Simplifying
(x + -2)(x2 + 2x + 4) + -1x(x + -3)(x + 3) = 28

Reorder the terms:
(-2 + x)(x2 + 2x + 4) + -1x(x + -3)(x + 3) = 28

Reorder the terms:
(-2 + x)(4 + 2x + x2) + -1x(x + -3)(x + 3) = 28

Multiply (-2 + x) * (4 + 2x + x2)
(-2(4 + 2x + x2) + x(4 + 2x + x2)) + -1x(x + -3)(x + 3) = 28
((4 * -2 + 2x * -2 + x2 * -2) + x(4 + 2x + x2)) + -1x(x + -3)(x + 3) = 28
((-8 + -4x + -2x2) + x(4 + 2x + x2)) + -1x(x + -3)(x + 3) = 28
(-8 + -4x + -2x2 + (4 * x + 2x * x + x2 * x)) + -1x(x + -3)(x + 3) = 28
(-8 + -4x + -2x2 + (4x + 2x2 + x3)) + -1x(x + -3)(x + 3) = 28

Reorder the terms:
(-8 + -4x + 4x + -2x2 + 2x2 + x3) + -1x(x + -3)(x + 3) = 28

Combine like terms: -4x + 4x = 0
(-8 + 0 + -2x2 + 2x2 + x3) + -1x(x + -3)(x + 3) = 28
(-8 + -2x2 + 2x2 + x3) + -1x(x + -3)(x + 3) = 28

Combine like terms: -2x2 + 2x2 = 0
(-8 + 0 + x3) + -1x(x + -3)(x + 3) = 28
(-8 + x3) + -1x(x + -3)(x + 3) = 28

Reorder the terms:
-8 + x3 + -1x(-3 + x)(x + 3) = 28

Reorder the terms:
-8 + x3 + -1x(-3 + x)(3 + x) = 28

Multiply (-3 + x) * (3 + x)
-8 + x3 + -1x(-3(3 + x) + x(3 + x)) = 28
-8 + x3 + -1x((3 * -3 + x * -3) + x(3 + x)) = 28
-8 + x3 + -1x((-9 + -3x) + x(3 + x)) = 28
-8 + x3 + -1x(-9 + -3x + (3 * x + x * x)) = 28
-8 + x3 + -1x(-9 + -3x + (3x + x2)) = 28

Combine like terms: -3x + 3x = 0
-8 + x3 + -1x(-9 + 0 + x2) = 28
-8 + x3 + -1x(-9 + x2) = 28
-8 + x3 + (-9 * -1x + x2 * -1x) = 28
-8 + x3 + (9x + -1x3) = 28

Reorder the terms:
-8 + 9x + x3 + -1x3 = 28

Combine like terms: x3 + -1x3 = 0
-8 + 9x + 0 = 28
-8 + 9x = 28

Solving
-8 + 9x = 28

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 = 28 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 28 + 8
9x = 28 + 8

Combine like terms: 28 + 8 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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