(x-1)(x-1)=(x+1)(x+1)

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
-2x = 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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