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Simplifying (5x + -3)(8x + 4) = 0 Reorder the terms: (-3 + 5x)(8x + 4) = 0 Reorder the terms: (-3 + 5x)(4 + 8x) = 0 Multiply (-3 + 5x) * (4 + 8x) (-3(4 + 8x) + 5x * (4 + 8x)) = 0 ((4 * -3 + 8x * -3) + 5x * (4 + 8x)) = 0 ((-12 + -24x) + 5x * (4 + 8x)) = 0 (-12 + -24x + (4 * 5x + 8x * 5x)) = 0 (-12 + -24x + (20x + 40x2)) = 0 Combine like terms: -24x + 20x = -4x (-12 + -4x + 40x2) = 0 Solving -12 + -4x + 40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + -1x + 10x2) = 0 Factor a trinomial. 4((-1 + -2x)(3 + -5x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-0.5, 0.6}
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