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Simplifying 8a2 + 15a + -2 = 0 Reorder the terms: -2 + 15a + 8a2 = 0 Solving -2 + 15a + 8a2 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -1a)(1 + -8a) = 0Subproblem 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 '(1 + -8a)' equal to zero and attempt to solve: Simplifying 1 + -8a = 0 Solving 1 + -8a = 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 + -8a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8a = 0 + -1 -8a = 0 + -1 Combine like terms: 0 + -1 = -1 -8a = -1 Divide each side by '-8'. a = 0.125 Simplifying a = 0.125Solution
a = {-2, 0.125}
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