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Simplifying (5x + 9)(5x + 9) = 0 Reorder the terms: (9 + 5x)(5x + 9) = 0 Reorder the terms: (9 + 5x)(9 + 5x) = 0 Multiply (9 + 5x) * (9 + 5x) (9(9 + 5x) + 5x * (9 + 5x)) = 0 ((9 * 9 + 5x * 9) + 5x * (9 + 5x)) = 0 ((81 + 45x) + 5x * (9 + 5x)) = 0 (81 + 45x + (9 * 5x + 5x * 5x)) = 0 (81 + 45x + (45x + 25x2)) = 0 Combine like terms: 45x + 45x = 90x (81 + 90x + 25x2) = 0 Solving 81 + 90x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 5x)(9 + 5x) = 0Subproblem 1
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {-1.8, -1.8}
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