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Simplifying (6a + -5)(3a + -8) = 0 Reorder the terms: (-5 + 6a)(3a + -8) = 0 Reorder the terms: (-5 + 6a)(-8 + 3a) = 0 Multiply (-5 + 6a) * (-8 + 3a) (-5(-8 + 3a) + 6a * (-8 + 3a)) = 0 ((-8 * -5 + 3a * -5) + 6a * (-8 + 3a)) = 0 ((40 + -15a) + 6a * (-8 + 3a)) = 0 (40 + -15a + (-8 * 6a + 3a * 6a)) = 0 (40 + -15a + (-48a + 18a2)) = 0 Combine like terms: -15a + -48a = -63a (40 + -63a + 18a2) = 0 Solving 40 + -63a + 18a2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + -6a)(8 + -3a) = 0Subproblem 1
Set the factor '(5 + -6a)' equal to zero and attempt to solve: Simplifying 5 + -6a = 0 Solving 5 + -6a = 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 + -6a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = 0 + -5 -6a = 0 + -5 Combine like terms: 0 + -5 = -5 -6a = -5 Divide each side by '-6'. a = 0.8333333333 Simplifying a = 0.8333333333Subproblem 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 = {0.8333333333, 2.666666667}
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