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Simplifying
9x2 + 4 + -16 = 65
Reorder the terms:
4 + -16 + 9x2 = 65
Combine like terms: 4 + -16 = -12
-12 + 9x2 = 65
Solving
-12 + 9x2 = 65
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 9x2 = 65 + 12
Combine like terms: -12 + 12 = 0
0 + 9x2 = 65 + 12
9x2 = 65 + 12
Combine like terms: 65 + 12 = 77
9x2 = 77
Divide each side by '9'.
x2 = 8.555555556
Simplifying
x2 = 8.555555556
Take the square root of each side:
x = {-2.924988129, 2.924988129}
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