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Simplifying 10a2 + 49a + 36 = 0 Reorder the terms: 36 + 49a + 10a2 = 0 Solving 36 + 49a + 10a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + a)(9 + 10a) = 0Subproblem 1
Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Subproblem 2
Set the factor '(9 + 10a)' equal to zero and attempt to solve: Simplifying 9 + 10a = 0 Solving 9 + 10a = 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 + 10a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10a = 0 + -9 10a = 0 + -9 Combine like terms: 0 + -9 = -9 10a = -9 Divide each side by '10'. a = -0.9 Simplifying a = -0.9Solution
a = {-4, -0.9}
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