x^2-x-2=x^2+6x+9

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Solution for x^2-x-2=x^2+6x+9 equation:


Simplifying
x2 + -1x + -2 = x2 + 6x + 9

Reorder the terms:
-2 + -1x + x2 = x2 + 6x + 9

Reorder the terms:
-2 + -1x + x2 = 9 + 6x + x2

Add '-1x2' to each side of the equation.
-2 + -1x + x2 + -1x2 = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -1x + 0 = 9 + 6x + x2 + -1x2
-2 + -1x = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -1x = 9 + 6x + 0
-2 + -1x = 9 + 6x

Solving
-2 + -1x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + -1x + -6x = 9 + 6x + -6x

Combine like terms: -1x + -6x = -7x
-2 + -7x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -7x = 9 + 0
-2 + -7x = 9

Add '2' to each side of the equation.
-2 + 2 + -7x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 9 + 2
-7x = 9 + 2

Combine like terms: 9 + 2 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

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