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Simplifying 4a2 + -31a + -8 = 0 Reorder the terms: -8 + -31a + 4a2 = 0 Solving -8 + -31a + 4a2 = 0 Solving for variable 'a'. Factor a trinomial. (-1 + -4a)(8 + -1a) = 0Subproblem 1
Set the factor '(-1 + -4a)' equal to zero and attempt to solve: Simplifying -1 + -4a = 0 Solving -1 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4a = 0 + 1 -4a = 0 + 1 Combine like terms: 0 + 1 = 1 -4a = 1 Divide each side by '-4'. a = -0.25 Simplifying a = -0.25Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve: Simplifying 8 + -1a = 0 Solving 8 + -1a = 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 + -1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 0 + -8 -1a = 0 + -8 Combine like terms: 0 + -8 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8Solution
a = {-0.25, 8}
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