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Simplifying -1a2 + -10a + 25 = 25 Reorder the terms: 25 + -10a + -1a2 = 25 Add '-25' to each side of the equation. 25 + -10a + -25 + -1a2 = 25 + -25 Reorder the terms: 25 + -25 + -10a + -1a2 = 25 + -25 Combine like terms: 25 + -25 = 0 0 + -10a + -1a2 = 25 + -25 -10a + -1a2 = 25 + -25 Combine like terms: 25 + -25 = 0 -10a + -1a2 = 0 Solving -10a + -1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1a'. -1a(10 + a) = 0 Ignore the factor -1.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 '(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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