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Simplifying (-3x + 8)(6x + -5) = 0 Reorder the terms: (8 + -3x)(6x + -5) = 0 Reorder the terms: (8 + -3x)(-5 + 6x) = 0 Multiply (8 + -3x) * (-5 + 6x) (8(-5 + 6x) + -3x * (-5 + 6x)) = 0 ((-5 * 8 + 6x * 8) + -3x * (-5 + 6x)) = 0 ((-40 + 48x) + -3x * (-5 + 6x)) = 0 (-40 + 48x + (-5 * -3x + 6x * -3x)) = 0 (-40 + 48x + (15x + -18x2)) = 0 Combine like terms: 48x + 15x = 63x (-40 + 63x + -18x2) = 0 Solving -40 + 63x + -18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + 3x)(5 + -6x) = 0Subproblem 1
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 = 2.666666667Subproblem 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 = {2.666666667, 0.8333333333}
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