x^2-12x+27=2x^2-12x+18

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Solution for x^2-12x+27=2x^2-12x+18 equation: 


Simplifying
x2 + -12x + 27 = 2x2 + -12x + 18

Reorder the terms:
27 + -12x + x2 = 2x2 + -12x + 18

Reorder the terms:
27 + -12x + x2 = 18 + -12x + 2x2

Add '12x' to each side of the equation.
27 + -12x + 12x + x2 = 18 + -12x + 12x + 2x2

Combine like terms: -12x + 12x = 0
27 + 0 + x2 = 18 + -12x + 12x + 2x2
27 + x2 = 18 + -12x + 12x + 2x2

Combine like terms: -12x + 12x = 0
27 + x2 = 18 + 0 + 2x2
27 + x2 = 18 + 2x2

Solving
27 + x2 = 18 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
27 + x2 + -2x2 = 18 + 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
27 + -1x2 = 18 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
27 + -1x2 = 18 + 0
27 + -1x2 = 18

Add '-27' to each side of the equation.
27 + -27 + -1x2 = 18 + -27

Combine like terms: 27 + -27 = 0
0 + -1x2 = 18 + -27
-1x2 = 18 + -27

Combine like terms: 18 + -27 = -9
-1x2 = -9

Divide each side by '-1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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