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Simplifying (x + -6)(5x + 8) = 0 Reorder the terms: (-6 + x)(5x + 8) = 0 Reorder the terms: (-6 + x)(8 + 5x) = 0 Multiply (-6 + x) * (8 + 5x) (-6(8 + 5x) + x(8 + 5x)) = 0 ((8 * -6 + 5x * -6) + x(8 + 5x)) = 0 ((-48 + -30x) + x(8 + 5x)) = 0 (-48 + -30x + (8 * x + 5x * x)) = 0 (-48 + -30x + (8x + 5x2)) = 0 Combine like terms: -30x + 8x = -22x (-48 + -22x + 5x2) = 0 Solving -48 + -22x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -5x)(6 + -1x) = 0Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 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 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-1.6, 6}
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