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Simplifying 15a2 + -32 = -4a Reorder the terms: -32 + 15a2 = -4a Solving -32 + 15a2 = -4a Solving for variable 'a'. Reorder the terms: -32 + 4a + 15a2 = -4a + 4a Combine like terms: -4a + 4a = 0 -32 + 4a + 15a2 = 0 Factor a trinomial. (-8 + -5a)(4 + -3a) = 0Subproblem 1
Set the factor '(-8 + -5a)' equal to zero and attempt to solve: Simplifying -8 + -5a = 0 Solving -8 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5a = 0 + 8 -5a = 0 + 8 Combine like terms: 0 + 8 = 8 -5a = 8 Divide each side by '-5'. a = -1.6 Simplifying a = -1.6Subproblem 2
Set the factor '(4 + -3a)' equal to zero and attempt to solve: Simplifying 4 + -3a = 0 Solving 4 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = 0 + -4 -3a = 0 + -4 Combine like terms: 0 + -4 = -4 -3a = -4 Divide each side by '-3'. a = 1.333333333 Simplifying a = 1.333333333Solution
a = {-1.6, 1.333333333}
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