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Simplifying 25(a2 + 1) = 5(a + 5) Reorder the terms: 25(1 + a2) = 5(a + 5) (1 * 25 + a2 * 25) = 5(a + 5) (25 + 25a2) = 5(a + 5) Reorder the terms: 25 + 25a2 = 5(5 + a) 25 + 25a2 = (5 * 5 + a * 5) 25 + 25a2 = (25 + 5a) Add '-25' to each side of the equation. 25 + -25 + 25a2 = 25 + -25 + 5a Combine like terms: 25 + -25 = 0 0 + 25a2 = 25 + -25 + 5a 25a2 = 25 + -25 + 5a Combine like terms: 25 + -25 = 0 25a2 = 0 + 5a 25a2 = 5a Solving 25a2 = 5a Solving for variable 'a'. Reorder the terms: -5a + 25a2 = 5a + -5a Combine like terms: 5a + -5a = 0 -5a + 25a2 = 0 Factor out the Greatest Common Factor (GCF), '5a'. 5a(-1 + 5a) = 0 Ignore the factor 5.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 + 5a)' equal to zero and attempt to solve: Simplifying -1 + 5a = 0 Solving -1 + 5a = 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 + 5a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5a = 0 + 1 5a = 0 + 1 Combine like terms: 0 + 1 = 1 5a = 1 Divide each side by '5'. a = 0.2 Simplifying a = 0.2Solution
a = {0, 0.2}
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