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Simplifying 5a2 + -12a + -32 = 0 Reorder the terms: -32 + -12a + 5a2 = 0 Solving -32 + -12a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (-8 + -5a)(4 + -1a) = 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 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 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 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {-1.6, 4}
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