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Simplifying (3x + -5)(4x + 3) = 0 Reorder the terms: (-5 + 3x)(4x + 3) = 0 Reorder the terms: (-5 + 3x)(3 + 4x) = 0 Multiply (-5 + 3x) * (3 + 4x) (-5(3 + 4x) + 3x * (3 + 4x)) = 0 ((3 * -5 + 4x * -5) + 3x * (3 + 4x)) = 0 ((-15 + -20x) + 3x * (3 + 4x)) = 0 (-15 + -20x + (3 * 3x + 4x * 3x)) = 0 (-15 + -20x + (9x + 12x2)) = 0 Combine like terms: -20x + 9x = -11x (-15 + -11x + 12x2) = 0 Solving -15 + -11x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(5 + -3x) = 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 + -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 = {-0.75, 1.666666667}
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