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Simplifying (5x + 9)(3x + 5) = 0 Reorder the terms: (9 + 5x)(3x + 5) = 0 Reorder the terms: (9 + 5x)(5 + 3x) = 0 Multiply (9 + 5x) * (5 + 3x) (9(5 + 3x) + 5x * (5 + 3x)) = 0 ((5 * 9 + 3x * 9) + 5x * (5 + 3x)) = 0 ((45 + 27x) + 5x * (5 + 3x)) = 0 (45 + 27x + (5 * 5x + 3x * 5x)) = 0 (45 + 27x + (25x + 15x2)) = 0 Combine like terms: 27x + 25x = 52x (45 + 52x + 15x2) = 0 Solving 45 + 52x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 5x)(5 + 3x) = 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 '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {-1.8, -1.666666667}
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