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Simplifying (11a + 7)(4a + -12) = 0 Reorder the terms: (7 + 11a)(4a + -12) = 0 Reorder the terms: (7 + 11a)(-12 + 4a) = 0 Multiply (7 + 11a) * (-12 + 4a) (7(-12 + 4a) + 11a * (-12 + 4a)) = 0 ((-12 * 7 + 4a * 7) + 11a * (-12 + 4a)) = 0 ((-84 + 28a) + 11a * (-12 + 4a)) = 0 (-84 + 28a + (-12 * 11a + 4a * 11a)) = 0 (-84 + 28a + (-132a + 44a2)) = 0 Combine like terms: 28a + -132a = -104a (-84 + -104a + 44a2) = 0 Solving -84 + -104a + 44a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(-21 + -26a + 11a2) = 0 Factor a trinomial. 4((-7 + -11a)(3 + -1a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -11a)' equal to zero and attempt to solve: Simplifying -7 + -11a = 0 Solving -7 + -11a = 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 + -11a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -11a = 0 + 7 -11a = 0 + 7 Combine like terms: 0 + 7 = 7 -11a = 7 Divide each side by '-11'. a = -0.6363636364 Simplifying a = -0.6363636364Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 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 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {-0.6363636364, 3}
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