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