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Simplifying 8a2 + -26a + -15 = 0 Reorder the terms: -15 + -26a + 8a2 = 0 Solving -15 + -26a + 8a2 = 0 Solving for variable 'a'. Factor a trinomial. (-1 + -2a)(15 + -4a) = 0Subproblem 1
Set the factor '(-1 + -2a)' equal to zero and attempt to solve: Simplifying -1 + -2a = 0 Solving -1 + -2a = 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 + -2a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2a = 0 + 1 -2a = 0 + 1 Combine like terms: 0 + 1 = 1 -2a = 1 Divide each side by '-2'. a = -0.5 Simplifying a = -0.5Subproblem 2
Set the factor '(15 + -4a)' equal to zero and attempt to solve: Simplifying 15 + -4a = 0 Solving 15 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4a = 0 + -15 -4a = 0 + -15 Combine like terms: 0 + -15 = -15 -4a = -15 Divide each side by '-4'. a = 3.75 Simplifying a = 3.75Solution
a = {-0.5, 3.75}
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