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Simplifying 2(x + -6)(4x + -5) = 0 Reorder the terms: 2(-6 + x)(4x + -5) = 0 Reorder the terms: 2(-6 + x)(-5 + 4x) = 0 Multiply (-6 + x) * (-5 + 4x) 2(-6(-5 + 4x) + x(-5 + 4x)) = 0 2((-5 * -6 + 4x * -6) + x(-5 + 4x)) = 0 2((30 + -24x) + x(-5 + 4x)) = 0 2(30 + -24x + (-5 * x + 4x * x)) = 0 2(30 + -24x + (-5x + 4x2)) = 0 Combine like terms: -24x + -5x = -29x 2(30 + -29x + 4x2) = 0 (30 * 2 + -29x * 2 + 4x2 * 2) = 0 (60 + -58x + 8x2) = 0 Solving 60 + -58x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(30 + -29x + 4x2) = 0 Factor a trinomial. 2((5 + -4x)(6 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {1.25, 6}
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