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Simplifying (9x + -5)(9x + -5) = 0 Reorder the terms: (-5 + 9x)(9x + -5) = 0 Reorder the terms: (-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 = -90x (25 + -90x + 81x2) = 0 Solving 25 + -90x + 81x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -9x)(5 + -9x) = 0Subproblem 1
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {0.5555555556, 0.5555555556}
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