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Simplifying
3x2 + 18 = 5x2
Reorder the terms:
18 + 3x2 = 5x2
Solving
18 + 3x2 = 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
18 + 3x2 + -5x2 = 5x2 + -5x2
Combine like terms: 3x2 + -5x2 = -2x2
18 + -2x2 = 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
18 + -2x2 = 0
Add '-18' to each side of the equation.
18 + -18 + -2x2 = 0 + -18
Combine like terms: 18 + -18 = 0
0 + -2x2 = 0 + -18
-2x2 = 0 + -18
Combine like terms: 0 + -18 = -18
-2x2 = -18
Divide each side by '-2'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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