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Simplifying (3x + 5)(x + -8) = 0 Reorder the terms: (5 + 3x)(x + -8) = 0 Reorder the terms: (5 + 3x)(-8 + x) = 0 Multiply (5 + 3x) * (-8 + x) (5(-8 + x) + 3x * (-8 + x)) = 0 ((-8 * 5 + x * 5) + 3x * (-8 + x)) = 0 ((-40 + 5x) + 3x * (-8 + x)) = 0 (-40 + 5x + (-8 * 3x + x * 3x)) = 0 (-40 + 5x + (-24x + 3x2)) = 0 Combine like terms: 5x + -24x = -19x (-40 + -19x + 3x2) = 0 Solving -40 + -19x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x)(8 + -1x) = 0Subproblem 1
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 = -1.666666667Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-1.666666667, 8}
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