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Simplifying (2x + -3)(8x + 5) = 0 Reorder the terms: (-3 + 2x)(8x + 5) = 0 Reorder the terms: (-3 + 2x)(5 + 8x) = 0 Multiply (-3 + 2x) * (5 + 8x) (-3(5 + 8x) + 2x * (5 + 8x)) = 0 ((5 * -3 + 8x * -3) + 2x * (5 + 8x)) = 0 ((-15 + -24x) + 2x * (5 + 8x)) = 0 (-15 + -24x + (5 * 2x + 8x * 2x)) = 0 (-15 + -24x + (10x + 16x2)) = 0 Combine like terms: -24x + 10x = -14x (-15 + -14x + 16x2) = 0 Solving -15 + -14x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -8x)(3 + -2x) = 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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-0.625, 1.5}
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