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Simplifying a2 = 10a Solving a2 = 10a Solving for variable 'a'. Reorder the terms: -10a + a2 = 10a + -10a Combine like terms: 10a + -10a = 0 -10a + a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-10 + 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 '(-10 + a)' equal to zero and attempt to solve: Simplifying -10 + a = 0 Solving -10 + a = 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 + a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + a = 0 + 10 a = 0 + 10 Combine like terms: 0 + 10 = 10 a = 10 Simplifying a = 10Solution
a = {0, 10}
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