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Simplifying 36a2 + 77a + -9 = 0 Reorder the terms: -9 + 77a + 36a2 = 0 Solving -9 + 77a + 36a2 = 0 Solving for variable 'a'. Factor a trinomial. (-9 + -4a)(1 + -9a) = 0Subproblem 1
Set the factor '(-9 + -4a)' equal to zero and attempt to solve: Simplifying -9 + -4a = 0 Solving -9 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4a = 0 + 9 -4a = 0 + 9 Combine like terms: 0 + 9 = 9 -4a = 9 Divide each side by '-4'. a = -2.25 Simplifying a = -2.25Subproblem 2
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 = 0.1111111111Solution
a = {-2.25, 0.1111111111}
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