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Simplifying a(3a + 4) + -1a(a + -7) = 0 Reorder the terms: a(4 + 3a) + -1a(a + -7) = 0 (4 * a + 3a * a) + -1a(a + -7) = 0 (4a + 3a2) + -1a(a + -7) = 0 Reorder the terms: 4a + 3a2 + -1a(-7 + a) = 0 4a + 3a2 + (-7 * -1a + a * -1a) = 0 4a + 3a2 + (7a + -1a2) = 0 Reorder the terms: 4a + 7a + 3a2 + -1a2 = 0 Combine like terms: 4a + 7a = 11a 11a + 3a2 + -1a2 = 0 Combine like terms: 3a2 + -1a2 = 2a2 11a + 2a2 = 0 Solving 11a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(11 + 2a) = 0Subproblem 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 '(11 + 2a)' equal to zero and attempt to solve: Simplifying 11 + 2a = 0 Solving 11 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2a = 0 + -11 2a = 0 + -11 Combine like terms: 0 + -11 = -11 2a = -11 Divide each side by '2'. a = -5.5 Simplifying a = -5.5Solution
a = {0, -5.5}
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