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Simplifying 5(3X2 + 16X + 16) = 0 Reorder the terms: 5(16 + 16X + 3X2) = 0 (16 * 5 + 16X * 5 + 3X2 * 5) = 0 (80 + 80X + 15X2) = 0 Solving 80 + 80X + 15X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '5'. 5(16 + 16X + 3X2) = 0 Factor a trinomial. 5((4 + X)(4 + 3X)) = 0 Ignore the factor 5.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 '(4 + 3X)' equal to zero and attempt to solve: Simplifying 4 + 3X = 0 Solving 4 + 3X = 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 + 3X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3X = 0 + -4 3X = 0 + -4 Combine like terms: 0 + -4 = -4 3X = -4 Divide each side by '3'. X = -1.333333333 Simplifying X = -1.333333333Solution
X = {-4, -1.333333333}
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