x^2+2x+1=x^2-1

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


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

Reorder the terms:
1 + 2x + x2 = x2 + -1

Reorder the terms:
1 + 2x + x2 = -1 + x2

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

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

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

Solving
1 + 2x = -1

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 + 2x = -1 + -1

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

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

Divide each side by '2'.
x = -1

Simplifying
x = -1

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