2x^2-9=27

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Solution for 2x^2-9=27 equation: 


Simplifying
2x2 + -9 = 27

Reorder the terms:
-9 + 2x2 = 27

Solving
-9 + 2x2 = 27

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 2x2 = 27 + 9

Combine like terms: -9 + 9 = 0
0 + 2x2 = 27 + 9
2x2 = 27 + 9

Combine like terms: 27 + 9 = 36
2x2 = 36

Divide each side by '2'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}

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