(x-2)*(x-2)-(x+1)*(x+2)=0

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Solution for (x-2)*(x-2)-(x+1)*(x+2)=0 equation:


Simplifying
(x + -2)(x + -2) + -1(x + 1)(x + 2) = 0

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

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

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

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

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

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

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

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

Reorder the terms:
4 + -2 + -4x + -3x + x2 + -1x2 = 0

Combine like terms: 4 + -2 = 2
2 + -4x + -3x + x2 + -1x2 = 0

Combine like terms: -4x + -3x = -7x
2 + -7x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
2 + -7x + 0 = 0
2 + -7x = 0

Solving
2 + -7x = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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