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Simplifying (6x + -5)(8x + 3) = 0 Reorder the terms: (-5 + 6x)(8x + 3) = 0 Reorder the terms: (-5 + 6x)(3 + 8x) = 0 Multiply (-5 + 6x) * (3 + 8x) (-5(3 + 8x) + 6x * (3 + 8x)) = 0 ((3 * -5 + 8x * -5) + 6x * (3 + 8x)) = 0 ((-15 + -40x) + 6x * (3 + 8x)) = 0 (-15 + -40x + (3 * 6x + 8x * 6x)) = 0 (-15 + -40x + (18x + 48x2)) = 0 Combine like terms: -40x + 18x = -22x (-15 + -22x + 48x2) = 0 Solving -15 + -22x + 48x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -8x)(5 + -6x) = 0Subproblem 1
Set the factor '(-3 + -8x)' equal to zero and attempt to solve: Simplifying -3 + -8x = 0 Solving -3 + -8x = 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 + -8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 0 + 3 -8x = 0 + 3 Combine like terms: 0 + 3 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {-0.375, 0.8333333333}
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