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Simplifying 30a2 + -25a = 5a Reorder the terms: -25a + 30a2 = 5a Solving -25a + 30a2 = 5a Solving for variable 'a'. Reorder the terms: -25a + -5a + 30a2 = 5a + -5a Combine like terms: -25a + -5a = -30a -30a + 30a2 = 5a + -5a Combine like terms: 5a + -5a = 0 -30a + 30a2 = 0 Factor out the Greatest Common Factor (GCF), '30a'. 30a(-1 + a) = 0 Ignore the factor 30.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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