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Simplifying (-2ay)(-2y + ay) = 0 Remove parenthesis around (-2ay) -2ay(-2y + ay) = 0 Reorder the terms: -2ay(ay + -2y) = 0 (ay * -2ay + -2y * -2ay) = 0 Reorder the terms: (4ay2 + -2a2y2) = 0 (4ay2 + -2a2y2) = 0 Solving 4ay2 + -2a2y2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ay2'. 2ay2(2 + -1a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ay2' equal to zero and attempt to solve: Simplifying ay2 = 0 Solving ay2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ay2 = 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 '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Solution
a = {2}
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