(x-2)(x-1)=6+x^2

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Solution for (x-2)(x-1)=6+x^2 equation: 


Simplifying
(x + -2)(x + -1) = 6 + x2

Reorder the terms:
(-2 + x)(x + -1) = 6 + x2

Reorder the terms:
(-2 + x)(-1 + x) = 6 + x2

Multiply (-2 + x) * (-1 + x)
(-2(-1 + x) + x(-1 + x)) = 6 + x2
((-1 * -2 + x * -2) + x(-1 + x)) = 6 + x2
((2 + -2x) + x(-1 + x)) = 6 + x2
(2 + -2x + (-1 * x + x * x)) = 6 + x2
(2 + -2x + (-1x + x2)) = 6 + x2

Combine like terms: -2x + -1x = -3x
(2 + -3x + x2) = 6 + x2

Add '-1x2' to each side of the equation.
2 + -3x + x2 + -1x2 = 6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -3x + 0 = 6 + x2 + -1x2
2 + -3x = 6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -3x = 6 + 0
2 + -3x = 6

Solving
2 + -3x = 6

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 = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 6 + -2
-3x = 6 + -2

Combine like terms: 6 + -2 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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