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Simplifying 10a2 + 2a + -4a2 + -8a = 0 Reorder the terms: 2a + -8a + 10a2 + -4a2 = 0 Combine like terms: 2a + -8a = -6a -6a + 10a2 + -4a2 = 0 Combine like terms: 10a2 + -4a2 = 6a2 -6a + 6a2 = 0 Solving -6a + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(-1 + a) = 0 Ignore the factor 6.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 '(-1 + a)' equal to zero and attempt to solve: Simplifying -1 + a = 0 Solving -1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a = 0 + 1 a = 0 + 1 Combine like terms: 0 + 1 = 1 a = 1 Simplifying a = 1Solution
a = {0, 1}
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