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Simplifying 75a6 + -27a4 = 0 Reorder the terms: -27a4 + 75a6 = 0 Solving -27a4 + 75a6 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a4'. 3a4(-9 + 25a2) = 0 Factor a difference between two squares. 3a4((3 + 5a)(-3 + 5a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a4' equal to zero and attempt to solve: Simplifying a4 = 0 Solving a4 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4 = 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 '(3 + 5a)' equal to zero and attempt to solve: Simplifying 3 + 5a = 0 Solving 3 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5a = 0 + -3 5a = 0 + -3 Combine like terms: 0 + -3 = -3 5a = -3 Divide each side by '5'. a = -0.6 Simplifying a = -0.6Subproblem 3
Set the factor '(-3 + 5a)' equal to zero and attempt to solve: Simplifying -3 + 5a = 0 Solving -3 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5a = 0 + 3 5a = 0 + 3 Combine like terms: 0 + 3 = 3 5a = 3 Divide each side by '5'. a = 0.6 Simplifying a = 0.6Solution
a = {-0.6, 0.6}
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