2x^2-2=3x^2-9

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Solution for 2x^2-2=3x^2-9 equation:


Simplifying
2x2 + -2 = 3x2 + -9

Reorder the terms:
-2 + 2x2 = 3x2 + -9

Reorder the terms:
-2 + 2x2 = -9 + 3x2

Solving
-2 + 2x2 = -9 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-2 + 2x2 + -3x2 = -9 + 3x2 + -3x2

Combine like terms: 2x2 + -3x2 = -1x2
-2 + -1x2 = -9 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + -1x2 = -9 + 0
-2 + -1x2 = -9

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

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

Combine like terms: -9 + 2 = -7
-1x2 = -7

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}

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