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Simplifying 9a2 + -18a + -2 = -7 Reorder the terms: -2 + -18a + 9a2 = -7 Solving -2 + -18a + 9a2 = -7 Solving for variable 'a'. Reorder the terms: -2 + 7 + -18a + 9a2 = -7 + 7 Combine like terms: -2 + 7 = 5 5 + -18a + 9a2 = -7 + 7 Combine like terms: -7 + 7 = 0 5 + -18a + 9a2 = 0 Factor a trinomial. (1 + -3a)(5 + -3a) = 0Subproblem 1
Set the factor '(1 + -3a)' equal to zero and attempt to solve: Simplifying 1 + -3a = 0 Solving 1 + -3a = 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 + -3a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = 0 + -1 -3a = 0 + -1 Combine like terms: 0 + -1 = -1 -3a = -1 Divide each side by '-3'. a = 0.3333333333 Simplifying a = 0.3333333333Subproblem 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 = {0.3333333333, 1.666666667}
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