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Simplifying
9x2 + 16 = 65
Reorder the terms:
16 + 9x2 = 65
Solving
16 + 9x2 = 65
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 9x2 = 65 + -16
Combine like terms: 16 + -16 = 0
0 + 9x2 = 65 + -16
9x2 = 65 + -16
Combine like terms: 65 + -16 = 49
9x2 = 49
Divide each side by '9'.
x2 = 5.444444444
Simplifying
x2 = 5.444444444
Take the square root of each side:
x = {-2.333333333, 2.333333333}
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