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Simplifying (8x + 5)(3x + -4) = 0 Reorder the terms: (5 + 8x)(3x + -4) = 0 Reorder the terms: (5 + 8x)(-4 + 3x) = 0 Multiply (5 + 8x) * (-4 + 3x) (5(-4 + 3x) + 8x * (-4 + 3x)) = 0 ((-4 * 5 + 3x * 5) + 8x * (-4 + 3x)) = 0 ((-20 + 15x) + 8x * (-4 + 3x)) = 0 (-20 + 15x + (-4 * 8x + 3x * 8x)) = 0 (-20 + 15x + (-32x + 24x2)) = 0 Combine like terms: 15x + -32x = -17x (-20 + -17x + 24x2) = 0 Solving -20 + -17x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -8x)(4 + -3x) = 0Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve: Simplifying -5 + -8x = 0 Solving -5 + -8x = 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 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-0.625, 1.333333333}
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