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Simplifying 21a2 = -65a + -24 Reorder the terms: 21a2 = -24 + -65a Solving 21a2 = -24 + -65a Solving for variable 'a'. Reorder the terms: 24 + 65a + 21a2 = -24 + -65a + 24 + 65a Reorder the terms: 24 + 65a + 21a2 = -24 + 24 + -65a + 65a Combine like terms: -24 + 24 = 0 24 + 65a + 21a2 = 0 + -65a + 65a 24 + 65a + 21a2 = -65a + 65a Combine like terms: -65a + 65a = 0 24 + 65a + 21a2 = 0 Factor a trinomial. (8 + 3a)(3 + 7a) = 0Subproblem 1
Set the factor '(8 + 3a)' equal to zero and attempt to solve: Simplifying 8 + 3a = 0 Solving 8 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = 0 + -8 3a = 0 + -8 Combine like terms: 0 + -8 = -8 3a = -8 Divide each side by '3'. a = -2.666666667 Simplifying a = -2.666666667Subproblem 2
Set the factor '(3 + 7a)' equal to zero and attempt to solve: Simplifying 3 + 7a = 0 Solving 3 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7a = 0 + -3 7a = 0 + -3 Combine like terms: 0 + -3 = -3 7a = -3 Divide each side by '7'. a = -0.4285714286 Simplifying a = -0.4285714286Solution
a = {-2.666666667, -0.4285714286}
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