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

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


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

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

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

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

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

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

Solving
2 + -3x = -1

Solving for variable 'x'.

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

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

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

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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