(x+1)(x^2-x+1)-x(x+2)(x-2)=3

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Solution for (x+1)(x^2-x+1)-x(x+2)(x-2)=3 equation: 


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

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

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

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

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

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

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

Reorder the terms:
1 + x3 + -1x(2 + x)(x + -2) = 3

Reorder the terms:
1 + x3 + -1x(2 + x)(-2 + x) = 3

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

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

Reorder the terms:
1 + 4x + x3 + -1x3 = 3

Combine like terms: x3 + -1x3 = 0
1 + 4x + 0 = 3
1 + 4x = 3

Solving
1 + 4x = 3

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 3 + -1
4x = 3 + -1

Combine like terms: 3 + -1 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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