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Simplifying
(9x + -0.5)(9x + 0.5) = 0
Reorder the terms:
(-0.5 + 9x)(9x + 0.5) = 0
Reorder the terms:
(-0.5 + 9x)(0.5 + 9x) = 0
Multiply (-0.5 + 9x) * (0.5 + 9x)
(-0.5(0.5 + 9x) + 9x * (0.5 + 9x)) = 0
((0.5 * -0.5 + 9x * -0.5) + 9x * (0.5 + 9x)) = 0
((-0.25 + -4.5x) + 9x * (0.5 + 9x)) = 0
(-0.25 + -4.5x + (0.5 * 9x + 9x * 9x)) = 0
(-0.25 + -4.5x + (4.5x + 81x2)) = 0
Combine like terms: -4.5x + 4.5x = 0.0
(-0.25 + 0.0 + 81x2) = 0
(-0.25 + 81x2) = 0
Solving
-0.25 + 81x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.25' to each side of the equation.
-0.25 + 0.25 + 81x2 = 0 + 0.25
Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 81x2 = 0 + 0.25
81x2 = 0 + 0.25
Combine like terms: 0 + 0.25 = 0.25
81x2 = 0.25
Divide each side by '81'.
x2 = 0.003086419753
Simplifying
x2 = 0.003086419753
Take the square root of each side:
x = {-0.055555556, 0.055555556}
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