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Simplifying 34ax2 + 51a2y + -68ay2 = 0 Reorder the terms: 34ax2 + -68ay2 + 51a2y = 0 Solving 34ax2 + -68ay2 + 51a2y = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '17a'. 17a(2x2 + -4y2 + 3ay) = 0 Ignore the factor 17.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 '(2x2 + -4y2 + 3ay)' equal to zero and attempt to solve: Simplifying 2x2 + -4y2 + 3ay = 0 Reorder the terms: 3ay + 2x2 + -4y2 = 0 Solving 3ay + 2x2 + -4y2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2x2' to each side of the equation. 3ay + 2x2 + -2x2 + -4y2 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3ay + 0 + -4y2 = 0 + -2x2 3ay + -4y2 = 0 + -2x2 Remove the zero: 3ay + -4y2 = -2x2 Add '4y2' to each side of the equation. 3ay + -4y2 + 4y2 = -2x2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 3ay + 0 = -2x2 + 4y2 3ay = -2x2 + 4y2 Divide each side by '3y'. a = -0.6666666667x2y-1 + 1.333333333y Simplifying a = -0.6666666667x2y-1 + 1.333333333ySolution
a = {0, -0.6666666667x2y-1 + 1.333333333y}
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