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Simplifying 15a2 = -56 + 61a Solving 15a2 = -56 + 61a Solving for variable 'a'. Reorder the terms: 56 + -61a + 15a2 = -56 + 61a + 56 + -61a Reorder the terms: 56 + -61a + 15a2 = -56 + 56 + 61a + -61a Combine like terms: -56 + 56 = 0 56 + -61a + 15a2 = 0 + 61a + -61a 56 + -61a + 15a2 = 61a + -61a Combine like terms: 61a + -61a = 0 56 + -61a + 15a2 = 0 Factor a trinomial. (7 + -5a)(8 + -3a) = 0Subproblem 1
Set the factor '(7 + -5a)' equal to zero and attempt to solve: Simplifying 7 + -5a = 0 Solving 7 + -5a = 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 + -5a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5a = 0 + -7 -5a = 0 + -7 Combine like terms: 0 + -7 = -7 -5a = -7 Divide each side by '-5'. a = 1.4 Simplifying a = 1.4Subproblem 2
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 = 2.666666667Solution
a = {1.4, 2.666666667}
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