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Simplifying 6(4x + 5)(x + 4) = 0 Reorder the terms: 6(5 + 4x)(x + 4) = 0 Reorder the terms: 6(5 + 4x)(4 + x) = 0 Multiply (5 + 4x) * (4 + x) 6(5(4 + x) + 4x * (4 + x)) = 0 6((4 * 5 + x * 5) + 4x * (4 + x)) = 0 6((20 + 5x) + 4x * (4 + x)) = 0 6(20 + 5x + (4 * 4x + x * 4x)) = 0 6(20 + 5x + (16x + 4x2)) = 0 Combine like terms: 5x + 16x = 21x 6(20 + 21x + 4x2) = 0 (20 * 6 + 21x * 6 + 4x2 * 6) = 0 (120 + 126x + 24x2) = 0 Solving 120 + 126x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(20 + 21x + 4x2) = 0 Factor a trinomial. 6((4 + x)(5 + 4x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
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 = -1.25Solution
x = {-4, -1.25}
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