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Simplifying a2 + -8a = 3a Reorder the terms: -8a + a2 = 3a Solving -8a + a2 = 3a Solving for variable 'a'. Reorder the terms: -8a + -3a + a2 = 3a + -3a Combine like terms: -8a + -3a = -11a -11a + a2 = 3a + -3a Combine like terms: 3a + -3a = 0 -11a + a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-11 + 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 '(-11 + a)' equal to zero and attempt to solve: Simplifying -11 + a = 0 Solving -11 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + a = 0 + 11 a = 0 + 11 Combine like terms: 0 + 11 = 11 a = 11 Simplifying a = 11Solution
a = {0, 11}
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