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Simplifying 6a + -2a2 + 4a + -1a2 = 0 Reorder the terms: 6a + 4a + -2a2 + -1a2 = 0 Combine like terms: 6a + 4a = 10a 10a + -2a2 + -1a2 = 0 Combine like terms: -2a2 + -1a2 = -3a2 10a + -3a2 = 0 Solving 10a + -3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(10 + -3a) = 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 '(10 + -3a)' equal to zero and attempt to solve: Simplifying 10 + -3a = 0 Solving 10 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = 0 + -10 -3a = 0 + -10 Combine like terms: 0 + -10 = -10 -3a = -10 Divide each side by '-3'. a = 3.333333333 Simplifying a = 3.333333333Solution
a = {0, 3.333333333}
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