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Simplifying 3a + 2a2 + -5a2 + -5a = 0 Reorder the terms: 3a + -5a + 2a2 + -5a2 = 0 Combine like terms: 3a + -5a = -2a -2a + 2a2 + -5a2 = 0 Combine like terms: 2a2 + -5a2 = -3a2 -2a + -3a2 = 0 Solving -2a + -3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1a'. -1a(2 + 3a) = 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 '(2 + 3a)' equal to zero and attempt to solve: Simplifying 2 + 3a = 0 Solving 2 + 3a = 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 + 3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 0 + -2 3a = 0 + -2 Combine like terms: 0 + -2 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667Solution
a = {0, -0.6666666667}
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