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Simplifying -5a = 56 + -6a2 Solving -5a = 56 + -6a2 Solving for variable 'a'. Reorder the terms: -56 + -5a + 6a2 = 56 + -6a2 + -56 + 6a2 Reorder the terms: -56 + -5a + 6a2 = 56 + -56 + -6a2 + 6a2 Combine like terms: 56 + -56 = 0 -56 + -5a + 6a2 = 0 + -6a2 + 6a2 -56 + -5a + 6a2 = -6a2 + 6a2 Combine like terms: -6a2 + 6a2 = 0 -56 + -5a + 6a2 = 0 Factor a trinomial. (-8 + -3a)(7 + -2a) = 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 '(7 + -2a)' equal to zero and attempt to solve: Simplifying 7 + -2a = 0 Solving 7 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 0 + -7 -2a = 0 + -7 Combine like terms: 0 + -7 = -7 -2a = -7 Divide each side by '-2'. a = 3.5 Simplifying a = 3.5Solution
a = {-2.666666667, 3.5}
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