4x-(x+2)*(x+2)=(1-x)*(1+x)-5

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Solution for 4x-(x+2)*(x+2)=(1-x)*(1+x)-5 equation: 


Simplifying
4x + -1(x + 2)(x + 2) = (1 + -1x)(1 + x) + -5

Reorder the terms:
4x + -1(2 + x)(x + 2) = (1 + -1x)(1 + x) + -5

Reorder the terms:
4x + -1(2 + x)(2 + x) = (1 + -1x)(1 + x) + -5

Multiply (2 + x) * (2 + x)
4x + -1(2(2 + x) + x(2 + x)) = (1 + -1x)(1 + x) + -5
4x + -1((2 * 2 + x * 2) + x(2 + x)) = (1 + -1x)(1 + x) + -5
4x + -1((4 + 2x) + x(2 + x)) = (1 + -1x)(1 + x) + -5
4x + -1(4 + 2x + (2 * x + x * x)) = (1 + -1x)(1 + x) + -5
4x + -1(4 + 2x + (2x + x2)) = (1 + -1x)(1 + x) + -5

Combine like terms: 2x + 2x = 4x
4x + -1(4 + 4x + x2) = (1 + -1x)(1 + x) + -5
4x + (4 * -1 + 4x * -1 + x2 * -1) = (1 + -1x)(1 + x) + -5
4x + (-4 + -4x + -1x2) = (1 + -1x)(1 + x) + -5

Reorder the terms:
-4 + 4x + -4x + -1x2 = (1 + -1x)(1 + x) + -5

Combine like terms: 4x + -4x = 0
-4 + 0 + -1x2 = (1 + -1x)(1 + x) + -5
-4 + -1x2 = (1 + -1x)(1 + x) + -5

Multiply (1 + -1x) * (1 + x)
-4 + -1x2 = (1(1 + x) + -1x * (1 + x)) + -5
-4 + -1x2 = ((1 * 1 + x * 1) + -1x * (1 + x)) + -5
-4 + -1x2 = ((1 + 1x) + -1x * (1 + x)) + -5
-4 + -1x2 = (1 + 1x + (1 * -1x + x * -1x)) + -5
-4 + -1x2 = (1 + 1x + (-1x + -1x2)) + -5

Combine like terms: 1x + -1x = 0
-4 + -1x2 = (1 + 0 + -1x2) + -5
-4 + -1x2 = (1 + -1x2) + -5

Reorder the terms:
-4 + -1x2 = 1 + -5 + -1x2

Combine like terms: 1 + -5 = -4
-4 + -1x2 = -4 + -1x2

Add '4' to each side of the equation.
-4 + 4 + -1x2 = -4 + 4 + -1x2

Combine like terms: -4 + 4 = 0
0 + -1x2 = -4 + 4 + -1x2
-1x2 = -4 + 4 + -1x2

Combine like terms: -4 + 4 = 0
-1x2 = 0 + -1x2
-1x2 = -1x2

Add 'x2' to each side of the equation.
-1x2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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