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Simplifying
4x2 + 27 + -40 = 0
Reorder the terms:
27 + -40 + 4x2 = 0
Combine like terms: 27 + -40 = -13
-13 + 4x2 = 0
Solving
-13 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + 4x2 = 0 + 13
Combine like terms: -13 + 13 = 0
0 + 4x2 = 0 + 13
4x2 = 0 + 13
Combine like terms: 0 + 13 = 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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