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Simplifying 25a + 10a3 = 5a(5 + 2a3) 25a + 10a3 = (5 * 5a + 2a3 * 5a) 25a + 10a3 = (25a + 10a4) Add '-25a' to each side of the equation. 25a + -25a + 10a3 = 25a + -25a + 10a4 Combine like terms: 25a + -25a = 0 0 + 10a3 = 25a + -25a + 10a4 10a3 = 25a + -25a + 10a4 Combine like terms: 25a + -25a = 0 10a3 = 0 + 10a4 10a3 = 10a4 Solving 10a3 = 10a4 Solving for variable 'a'. Combine like terms: 10a4 + -10a4 = 0 10a3 + -10a4 = 0 Factor out the Greatest Common Factor (GCF), '10a3'. 10a3(1 + -1a) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 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 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solution
a = {1}
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