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Simplifying (4x + 6)(5 + -1x) = 0 Reorder the terms: (6 + 4x)(5 + -1x) = 0 Multiply (6 + 4x) * (5 + -1x) (6(5 + -1x) + 4x * (5 + -1x)) = 0 ((5 * 6 + -1x * 6) + 4x * (5 + -1x)) = 0 ((30 + -6x) + 4x * (5 + -1x)) = 0 (30 + -6x + (5 * 4x + -1x * 4x)) = 0 (30 + -6x + (20x + -4x2)) = 0 Combine like terms: -6x + 20x = 14x (30 + 14x + -4x2) = 0 Solving 30 + 14x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 7x + -2x2) = 0 Factor a trinomial. 2((5 + -1x)(3 + 2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 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 = {5, -1.5}
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