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Simplifying (5x + 8)(3x + -8) = 0 Reorder the terms: (8 + 5x)(3x + -8) = 0 Reorder the terms: (8 + 5x)(-8 + 3x) = 0 Multiply (8 + 5x) * (-8 + 3x) (8(-8 + 3x) + 5x * (-8 + 3x)) = 0 ((-8 * 8 + 3x * 8) + 5x * (-8 + 3x)) = 0 ((-64 + 24x) + 5x * (-8 + 3x)) = 0 (-64 + 24x + (-8 * 5x + 3x * 5x)) = 0 (-64 + 24x + (-40x + 15x2)) = 0 Combine like terms: 24x + -40x = -16x (-64 + -16x + 15x2) = 0 Solving -64 + -16x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -5x)(8 + -3x) = 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 '(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 = 2.666666667Solution
x = {-1.6, 2.666666667}
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