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Simplifying
(5 + -9x)(5 + 9x) = 0
Multiply (5 + -9x) * (5 + 9x)
(5(5 + 9x) + -9x * (5 + 9x)) = 0
((5 * 5 + 9x * 5) + -9x * (5 + 9x)) = 0
((25 + 45x) + -9x * (5 + 9x)) = 0
(25 + 45x + (5 * -9x + 9x * -9x)) = 0
(25 + 45x + (-45x + -81x2)) = 0
Combine like terms: 45x + -45x = 0
(25 + 0 + -81x2) = 0
(25 + -81x2) = 0
Solving
25 + -81x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -81x2 = 0 + -25
Combine like terms: 25 + -25 = 0
0 + -81x2 = 0 + -25
-81x2 = 0 + -25
Combine like terms: 0 + -25 = -25
-81x2 = -25
Divide each side by '-81'.
x2 = 0.3086419753
Simplifying
x2 = 0.3086419753
Take the square root of each side:
x = {-0.555555556, 0.555555556}
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