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Simplifying -4a(a + 3) + -1a = 0 Reorder the terms: -4a(3 + a) + -1a = 0 (3 * -4a + a * -4a) + -1a = 0 (-12a + -4a2) + -1a = 0 Reorder the terms: -12a + -1a + -4a2 = 0 Combine like terms: -12a + -1a = -13a -13a + -4a2 = 0 Solving -13a + -4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1a'. -1a(13 + 4a) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(13 + 4a)' equal to zero and attempt to solve: Simplifying 13 + 4a = 0 Solving 13 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4a = 0 + -13 4a = 0 + -13 Combine like terms: 0 + -13 = -13 4a = -13 Divide each side by '4'. a = -3.25 Simplifying a = -3.25Solution
a = {0, -3.25}
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