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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 + 18x^{2})) = 0 Combine like terms: -48x + 15x = -33x (-40 + -33x + 18x^{2}) = 0 Solving -40 + -33x + 18x^{2}= 0 Solving for variable 'x'. Factor a trinomial. (-5 + -6x)(8 + -3x) = 0## Subproblem 1

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 = -0.8333333333## Subproblem 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 = 2.666666667## Solution

x = {-0.8333333333, 2.666666667}

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