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Simplifying (8x + -3)(2x + 5) = 0 Reorder the terms: (-3 + 8x)(2x + 5) = 0 Reorder the terms: (-3 + 8x)(5 + 2x) = 0 Multiply (-3 + 8x) * (5 + 2x) (-3(5 + 2x) + 8x * (5 + 2x)) = 0 ((5 * -3 + 2x * -3) + 8x * (5 + 2x)) = 0 ((-15 + -6x) + 8x * (5 + 2x)) = 0 (-15 + -6x + (5 * 8x + 2x * 8x)) = 0 (-15 + -6x + (40x + 16x2)) = 0 Combine like terms: -6x + 40x = 34x (-15 + 34x + 16x2) = 0 Solving -15 + 34x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x)(3 + -8x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solution
x = {-2.5, 0.375}
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