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Simplifying 36a2 + 9a + -10 = 0 Reorder the terms: -10 + 9a + 36a2 = 0 Solving -10 + 9a + 36a2 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -3a)(5 + -12a) = 0Subproblem 1
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 = -0.6666666667Subproblem 2
Set the factor '(5 + -12a)' equal to zero and attempt to solve: Simplifying 5 + -12a = 0 Solving 5 + -12a = 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 + -12a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12a = 0 + -5 -12a = 0 + -5 Combine like terms: 0 + -5 = -5 -12a = -5 Divide each side by '-12'. a = 0.4166666667 Simplifying a = 0.4166666667Solution
a = {-0.6666666667, 0.4166666667}
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