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Simplifying 4a2 + 16a = 84 Reorder the terms: 16a + 4a2 = 84 Solving 16a + 4a2 = 84 Solving for variable 'a'. Reorder the terms: -84 + 16a + 4a2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 16a + 4a2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-21 + 4a + a2) = 0 Factor a trinomial. 4((-7 + -1a)(3 + -1a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -1a)' equal to zero and attempt to solve: Simplifying -7 + -1a = 0 Solving -7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 0 + 7 -1a = 0 + 7 Combine like terms: 0 + 7 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {-7, 3}
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