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Simplifying -5a2 + -2a + 1 = 1 + -6a2 Reorder the terms: 1 + -2a + -5a2 = 1 + -6a2 Add '-1' to each side of the equation. 1 + -2a + -1 + -5a2 = 1 + -1 + -6a2 Reorder the terms: 1 + -1 + -2a + -5a2 = 1 + -1 + -6a2 Combine like terms: 1 + -1 = 0 0 + -2a + -5a2 = 1 + -1 + -6a2 -2a + -5a2 = 1 + -1 + -6a2 Combine like terms: 1 + -1 = 0 -2a + -5a2 = 0 + -6a2 -2a + -5a2 = -6a2 Solving -2a + -5a2 = -6a2 Solving for variable 'a'. Combine like terms: -5a2 + 6a2 = 1a2 -2a + 1a2 = -6a2 + 6a2 Combine like terms: -6a2 + 6a2 = 0 -2a + 1a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-2 + a) = 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 '(-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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