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Simplifying (3x + -8)(5x + 3) = 0 Reorder the terms: (-8 + 3x)(5x + 3) = 0 Reorder the terms: (-8 + 3x)(3 + 5x) = 0 Multiply (-8 + 3x) * (3 + 5x) (-8(3 + 5x) + 3x * (3 + 5x)) = 0 ((3 * -8 + 5x * -8) + 3x * (3 + 5x)) = 0 ((-24 + -40x) + 3x * (3 + 5x)) = 0 (-24 + -40x + (3 * 3x + 5x * 3x)) = 0 (-24 + -40x + (9x + 15x2)) = 0 Combine like terms: -40x + 9x = -31x (-24 + -31x + 15x2) = 0 Solving -24 + -31x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5x)(8 + -3x) = 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 '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-0.6, 2.666666667}
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