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Simplifying 7a2 = -65a + -18 Reorder the terms: 7a2 = -18 + -65a Solving 7a2 = -18 + -65a Solving for variable 'a'. Reorder the terms: 18 + 65a + 7a2 = -18 + -65a + 18 + 65a Reorder the terms: 18 + 65a + 7a2 = -18 + 18 + -65a + 65a Combine like terms: -18 + 18 = 0 18 + 65a + 7a2 = 0 + -65a + 65a 18 + 65a + 7a2 = -65a + 65a Combine like terms: -65a + 65a = 0 18 + 65a + 7a2 = 0 Factor a trinomial. (9 + a)(2 + 7a) = 0Subproblem 1
Set the factor '(9 + a)' equal to zero and attempt to solve: Simplifying 9 + a = 0 Solving 9 + a = 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 + a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a = 0 + -9 a = 0 + -9 Combine like terms: 0 + -9 = -9 a = -9 Simplifying a = -9Subproblem 2
Set the factor '(2 + 7a)' equal to zero and attempt to solve: Simplifying 2 + 7a = 0 Solving 2 + 7a = 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 + 7a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7a = 0 + -2 7a = 0 + -2 Combine like terms: 0 + -2 = -2 7a = -2 Divide each side by '7'. a = -0.2857142857 Simplifying a = -0.2857142857Solution
a = {-9, -0.2857142857}
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