x(x-6)=x^2+2x+7

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Solution for x(x-6)=x^2+2x+7 equation: 


Simplifying
x(x + -6) = x2 + 2x + 7

Reorder the terms:
x(-6 + x) = x2 + 2x + 7
(-6 * x + x * x) = x2 + 2x + 7
(-6x + x2) = x2 + 2x + 7

Reorder the terms:
-6x + x2 = 7 + 2x + x2

Add '-1x2' to each side of the equation.
-6x + x2 + -1x2 = 7 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6x + 0 = 7 + 2x + x2 + -1x2
-6x = 7 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6x = 7 + 2x + 0
-6x = 7 + 2x

Solving
-6x = 7 + 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.
-6x + -2x = 7 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-8x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8x = 7 + 0
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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