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

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


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

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

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

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

Add 'x2' to each side of the equation.
-2x + -1x2 + x2 = -1x2 + x2

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

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

Solving
-2x = 0

Solving for variable 'x'.

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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