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Simplifying (50a6) + -1(32a4) = 0 Remove parenthesis around (32a4) (50a6) + -1 * 32a4 = 0 Multiply -1 * 32 (50a6) + -32a4 = 0 Reorder the terms: -32a4 + (50a6) = 0 Solving -32a4 + (50a6) = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a4'. 2a4(-16 + (25a2)) = 0 Factor a difference between two squares. 2a4((4 + (5a))(-4 + (5a))) = 0 Ignore the factor 2.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 '(4 + (5a))' equal to zero and attempt to solve: Simplifying 4 + (5a) = 0 Solving 4 + (5a) = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + (5a) = 0 + -4 Combine like terms: 4 + -4 = 0 0 + (5a) = 0 + -4 (5a) = 0 + -4 Combine like terms: 0 + -4 = -4 (5a) = -4 Divide each side by '5'. a = -0.8 Simplifying a = -0.8Subproblem 3
Set the factor '(-4 + (5a))' equal to zero and attempt to solve: Simplifying -4 + (5a) = 0 Solving -4 + (5a) = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + (5a) = 0 + 4 Combine like terms: -4 + 4 = 0 0 + (5a) = 0 + 4 (5a) = 0 + 4 Combine like terms: 0 + 4 = 4 (5a) = 4 Divide each side by '5'. a = 0.8 Simplifying a = 0.8Solution
a = {-0.8, 0.8}
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