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Simplifying
(0.5x + -9)(0.5x + 9) = 0
Reorder the terms:
(-9 + 0.5x)(0.5x + 9) = 0
Reorder the terms:
(-9 + 0.5x)(9 + 0.5x) = 0
Multiply (-9 + 0.5x) * (9 + 0.5x)
(-9(9 + 0.5x) + 0.5x * (9 + 0.5x)) = 0
((9 * -9 + 0.5x * -9) + 0.5x * (9 + 0.5x)) = 0
((-81 + -4.5x) + 0.5x * (9 + 0.5x)) = 0
(-81 + -4.5x + (9 * 0.5x + 0.5x * 0.5x)) = 0
(-81 + -4.5x + (4.5x + 0.25x2)) = 0
Combine like terms: -4.5x + 4.5x = 0.0
(-81 + 0.0 + 0.25x2) = 0
(-81 + 0.25x2) = 0
Solving
-81 + 0.25x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '81' to each side of the equation.
-81 + 81 + 0.25x2 = 0 + 81
Combine like terms: -81 + 81 = 0
0 + 0.25x2 = 0 + 81
0.25x2 = 0 + 81
Combine like terms: 0 + 81 = 81
0.25x2 = 81
Divide each side by '0.25'.
x2 = 324
Simplifying
x2 = 324
Take the square root of each side:
x = {-18, 18}
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