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Simplifying
4x2 + 9x2 = 117
Combine like terms: 4x2 + 9x2 = 13x2
13x2 = 117
Solving
13x2 = 117
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '13'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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