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Simplifying 3a(a + -4) + -2a(7 + 8a) = 0 Reorder the terms: 3a(-4 + a) + -2a(7 + 8a) = 0 (-4 * 3a + a * 3a) + -2a(7 + 8a) = 0 (-12a + 3a2) + -2a(7 + 8a) = 0 -12a + 3a2 + (7 * -2a + 8a * -2a) = 0 -12a + 3a2 + (-14a + -16a2) = 0 Reorder the terms: -12a + -14a + 3a2 + -16a2 = 0 Combine like terms: -12a + -14a = -26a -26a + 3a2 + -16a2 = 0 Combine like terms: 3a2 + -16a2 = -13a2 -26a + -13a2 = 0 Solving -26a + -13a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-13a'. -13a(2 + a) = 0 Ignore the factor -13.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 '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Solution
a = {0, -2}
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