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Simplifying a(5x + -4y) = 0 (5x * a + -4y * a) = 0 (5ax + -4ay) = 0 Solving 5ax + -4ay = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'a'. a(5x + -4y) = 0Subproblem 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 '(5x + -4y)' equal to zero and attempt to solve: Simplifying 5x + -4y = 0 Solving 5x + -4y = 0 Move all terms containing a to the left, all other terms to the right. Add '-5x' to each side of the equation. 5x + -5x + -4y = 0 + -5x Combine like terms: 5x + -5x = 0 0 + -4y = 0 + -5x -4y = 0 + -5x Remove the zero: -4y = -5x Add '4y' to each side of the equation. -4y + 4y = -5x + 4y Combine like terms: -4y + 4y = 0 0 = -5x + 4y Simplifying 0 = -5x + 4y 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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