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Simplifying 2a(3x2 + -5y2) = 0 (3x2 * 2a + -5y2 * 2a) = 0 (6ax2 + -10ay2) = 0 Solving 6ax2 + -10ay2 = 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), '2a'. 2a(3x2 + -5y2) = 0 Ignore the factor 2.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 '(3x2 + -5y2)' equal to zero and attempt to solve: Simplifying 3x2 + -5y2 = 0 Solving 3x2 + -5y2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x2' to each side of the equation. 3x2 + -3x2 + -5y2 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + -5y2 = 0 + -3x2 -5y2 = 0 + -3x2 Remove the zero: -5y2 = -3x2 Add '5y2' to each side of the equation. -5y2 + 5y2 = -3x2 + 5y2 Combine like terms: -5y2 + 5y2 = 0 0 = -3x2 + 5y2 Simplifying 0 = -3x2 + 5y2 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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