(x-1)(x-2)-x^2=0

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Solution for (x-1)(x-2)-x^2=0 equation:


Simplifying
(x + -1)(x + -2) + -1x2 = 0

Reorder the terms:
(-1 + x)(x + -2) + -1x2 = 0

Reorder the terms:
(-1 + x)(-2 + x) + -1x2 = 0

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x)) + -1x2 = 0
((-2 * -1 + x * -1) + x(-2 + x)) + -1x2 = 0
((2 + -1x) + x(-2 + x)) + -1x2 = 0
(2 + -1x + (-2 * x + x * x)) + -1x2 = 0
(2 + -1x + (-2x + x2)) + -1x2 = 0

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

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

Solving
2 + -3x = 0

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 = 0 + -2

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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