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Simplifying (5x + -3)(5x + -9) = 0 Reorder the terms: (-3 + 5x)(5x + -9) = 0 Reorder the terms: (-3 + 5x)(-9 + 5x) = 0 Multiply (-3 + 5x) * (-9 + 5x) (-3(-9 + 5x) + 5x * (-9 + 5x)) = 0 ((-9 * -3 + 5x * -3) + 5x * (-9 + 5x)) = 0 ((27 + -15x) + 5x * (-9 + 5x)) = 0 (27 + -15x + (-9 * 5x + 5x * 5x)) = 0 (27 + -15x + (-45x + 25x2)) = 0 Combine like terms: -15x + -45x = -60x (27 + -60x + 25x2) = 0 Solving 27 + -60x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(9 + -5x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 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 = {0.6, 1.8}
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