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Simplifying -1(a2 + -4a) + -1(3a2 + -6a) = 0 Reorder the terms: -1(-4a + a2) + -1(3a2 + -6a) = 0 (-4a * -1 + a2 * -1) + -1(3a2 + -6a) = 0 (4a + -1a2) + -1(3a2 + -6a) = 0 Reorder the terms: 4a + -1a2 + -1(-6a + 3a2) = 0 4a + -1a2 + (-6a * -1 + 3a2 * -1) = 0 4a + -1a2 + (6a + -3a2) = 0 Reorder the terms: 4a + 6a + -1a2 + -3a2 = 0 Combine like terms: 4a + 6a = 10a 10a + -1a2 + -3a2 = 0 Combine like terms: -1a2 + -3a2 = -4a2 10a + -4a2 = 0 Solving 10a + -4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(5 + -2a) = 0 Ignore the factor 2.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 '(5 + -2a)' equal to zero and attempt to solve: Simplifying 5 + -2a = 0 Solving 5 + -2a = 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 + -2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 0 + -5 -2a = 0 + -5 Combine like terms: 0 + -5 = -5 -2a = -5 Divide each side by '-2'. a = 2.5 Simplifying a = 2.5Solution
a = {0, 2.5}
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