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Simplifying 3a7 + -75a = 0 Reorder the terms: -75a + 3a7 = 0 Solving -75a + 3a7 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-25 + a6) = 0 Factor a difference between two squares. 3a((5 + a3)(-5 + a3)) = 0 Ignore the factor 3.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 '(5 + a3)' equal to zero and attempt to solve: Simplifying 5 + a3 = 0 Solving 5 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a3 = 0 + -5 a3 = 0 + -5 Combine like terms: 0 + -5 = -5 a3 = -5 Simplifying a3 = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-5 + a3)' equal to zero and attempt to solve: Simplifying -5 + a3 = 0 Solving -5 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + a3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + a3 = 0 + 5 a3 = 0 + 5 Combine like terms: 0 + 5 = 5 a3 = 5 Simplifying a3 = 5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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