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Simplifying (9x + -5)(5x + 3) = 0 Reorder the terms: (-5 + 9x)(5x + 3) = 0 Reorder the terms: (-5 + 9x)(3 + 5x) = 0 Multiply (-5 + 9x) * (3 + 5x) (-5(3 + 5x) + 9x * (3 + 5x)) = 0 ((3 * -5 + 5x * -5) + 9x * (3 + 5x)) = 0 ((-15 + -25x) + 9x * (3 + 5x)) = 0 (-15 + -25x + (3 * 9x + 5x * 9x)) = 0 (-15 + -25x + (27x + 45x2)) = 0 Combine like terms: -25x + 27x = 2x (-15 + 2x + 45x2) = 0 Solving -15 + 2x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5x)(5 + -9x) = 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 '(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 = {-0.6, 0.5555555556}
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