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Simplifying 15a2 + 14a + -16 = 0 Reorder the terms: -16 + 14a + 15a2 = 0 Solving -16 + 14a + 15a2 = 0 Solving for variable 'a'. Factor a trinomial. (-8 + -5a)(2 + -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 '(2 + -3a)' equal to zero and attempt to solve: Simplifying 2 + -3a = 0 Solving 2 + -3a = 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 + -3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 0 + -2 -3a = 0 + -2 Combine like terms: 0 + -2 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667Solution
a = {-1.6, 0.6666666667}
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