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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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