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Simplifying
4x2 + -13 + 9 = 9
Reorder the terms:
-13 + 9 + 4x2 = 9
Combine like terms: -13 + 9 = -4
-4 + 4x2 = 9
Solving
-4 + 4x2 = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 4x2 = 9 + 4
Combine like terms: -4 + 4 = 0
0 + 4x2 = 9 + 4
4x2 = 9 + 4
Combine like terms: 9 + 4 = 13
4x2 = 13
Divide each side by '4'.
x2 = 3.25
Simplifying
x2 = 3.25
Take the square root of each side:
x = {-1.802775638, 1.802775638}
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