2x^2-2=18-3x^2

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Solution for 2x^2-2=18-3x^2 equation:


Simplifying
2x2 + -2 = 18 + -3x2

Reorder the terms:
-2 + 2x2 = 18 + -3x2

Solving
-2 + 2x2 = 18 + -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 = 18 + -3x2 + 3x2

Combine like terms: 2x2 + 3x2 = 5x2
-2 + 5x2 = 18 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-2 + 5x2 = 18 + 0
-2 + 5x2 = 18

Add '2' to each side of the equation.
-2 + 2 + 5x2 = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 5x2 = 18 + 2
5x2 = 18 + 2

Combine like terms: 18 + 2 = 20
5x2 = 20

Divide each side by '5'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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