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Simplifying (9x + 5)(4x + 3) = 0 Reorder the terms: (5 + 9x)(4x + 3) = 0 Reorder the terms: (5 + 9x)(3 + 4x) = 0 Multiply (5 + 9x) * (3 + 4x) (5(3 + 4x) + 9x * (3 + 4x)) = 0 ((3 * 5 + 4x * 5) + 9x * (3 + 4x)) = 0 ((15 + 20x) + 9x * (3 + 4x)) = 0 (15 + 20x + (3 * 9x + 4x * 9x)) = 0 (15 + 20x + (27x + 36x2)) = 0 Combine like terms: 20x + 27x = 47x (15 + 47x + 36x2) = 0 Solving 15 + 47x + 36x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 4x)(5 + 9x) = 0Subproblem 1
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Subproblem 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 = {-0.75, -0.5555555556}
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