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Simplifying (5a + 6)(a + -4) = 0 Reorder the terms: (6 + 5a)(a + -4) = 0 Reorder the terms: (6 + 5a)(-4 + a) = 0 Multiply (6 + 5a) * (-4 + a) (6(-4 + a) + 5a * (-4 + a)) = 0 ((-4 * 6 + a * 6) + 5a * (-4 + a)) = 0 ((-24 + 6a) + 5a * (-4 + a)) = 0 (-24 + 6a + (-4 * 5a + a * 5a)) = 0 (-24 + 6a + (-20a + 5a2)) = 0 Combine like terms: 6a + -20a = -14a (-24 + -14a + 5a2) = 0 Solving -24 + -14a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (-6 + -5a)(4 + -1a) = 0Subproblem 1
Set the factor '(-6 + -5a)' equal to zero and attempt to solve: Simplifying -6 + -5a = 0 Solving -6 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5a = 0 + 6 -5a = 0 + 6 Combine like terms: 0 + 6 = 6 -5a = 6 Divide each side by '-5'. a = -1.2 Simplifying a = -1.2Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {-1.2, 4}
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