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Simplifying
4x2 + -65 = 16
Reorder the terms:
-65 + 4x2 = 16
Solving
-65 + 4x2 = 16
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '65' to each side of the equation.
-65 + 65 + 4x2 = 16 + 65
Combine like terms: -65 + 65 = 0
0 + 4x2 = 16 + 65
4x2 = 16 + 65
Combine like terms: 16 + 65 = 81
4x2 = 81
Divide each side by '4'.
x2 = 20.25
Simplifying
x2 = 20.25
Take the square root of each side:
x = {-4.5, 4.5}
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