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Simplifying 16a2 + 72a = -81 Reorder the terms: 72a + 16a2 = -81 Solving 72a + 16a2 = -81 Solving for variable 'a'. Reorder the terms: 81 + 72a + 16a2 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + 72a + 16a2 = 0 Factor a trinomial. (9 + 4a)(9 + 4a) = 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 '(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 = -2.25Solution
a = {-2.25, -2.25}
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