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Simplifying 27a2 + -42a + -5 = 0 Reorder the terms: -5 + -42a + 27a2 = 0 Solving -5 + -42a + 27a2 = 0 Solving for variable 'a'. Factor a trinomial. (-1 + -9a)(5 + -3a) = 0Subproblem 1
Set the factor '(-1 + -9a)' equal to zero and attempt to solve: Simplifying -1 + -9a = 0 Solving -1 + -9a = 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 + -9a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9a = 0 + 1 -9a = 0 + 1 Combine like terms: 0 + 1 = 1 -9a = 1 Divide each side by '-9'. a = -0.1111111111 Simplifying a = -0.1111111111Subproblem 2
Set the factor '(5 + -3a)' equal to zero and attempt to solve: Simplifying 5 + -3a = 0 Solving 5 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 0 + -5 -3a = 0 + -5 Combine like terms: 0 + -5 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667Solution
a = {-0.1111111111, 1.666666667}
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