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Simplifying -4a2 + -2a + -28 = -10a2 Reorder the terms: -28 + -2a + -4a2 = -10a2 Solving -28 + -2a + -4a2 = -10a2 Solving for variable 'a'. Combine like terms: -4a2 + 10a2 = 6a2 -28 + -2a + 6a2 = -10a2 + 10a2 Combine like terms: -10a2 + 10a2 = 0 -28 + -2a + 6a2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + -1a + 3a2) = 0 Factor a trinomial. 2((-2 + -1a)(7 + -3a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1a)' equal to zero and attempt to solve: Simplifying -2 + -1a = 0 Solving -2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 0 + 2 -1a = 0 + 2 Combine like terms: 0 + 2 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2Subproblem 2
Set the factor '(7 + -3a)' equal to zero and attempt to solve: Simplifying 7 + -3a = 0 Solving 7 + -3a = 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 + -3a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = 0 + -7 -3a = 0 + -7 Combine like terms: 0 + -7 = -7 -3a = -7 Divide each side by '-3'. a = 2.333333333 Simplifying a = 2.333333333Solution
a = {-2, 2.333333333}
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