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

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


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

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

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

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

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

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

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

Multiply x * x
3 + -2x + x2 = x2 + -1

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

Add '-1x2' to each side of the equation.
3 + -2x + x2 + -1x2 = -1 + x2 + -1x2

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

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

Solving
3 + -2x = -1

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -2x = -1 + -3

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

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

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

Simplifying
x = 2

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