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Simplifying 5x3y2 + -45x = 0 Reorder the terms: -45x + 5x3y2 = 0 Solving -45x + 5x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-9 + x2y2) = 0 Factor a difference between two squares. 5x((3 + xy)(-3 + xy)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3 + xy)' equal to zero and attempt to solve: Simplifying 3 + xy = 0 Solving 3 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + xy = 0 + -3 xy = 0 + -3 Combine like terms: 0 + -3 = -3 xy = -3 Divide each side by 'y'. x = -3y-1 Simplifying x = -3y-1Subproblem 3
Set the factor '(-3 + xy)' equal to zero and attempt to solve: Simplifying -3 + xy = 0 Solving -3 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + xy = 0 + 3 Combine like terms: -3 + 3 = 0 0 + xy = 0 + 3 xy = 0 + 3 Combine like terms: 0 + 3 = 3 xy = 3 Divide each side by 'y'. x = 3y-1 Simplifying x = 3y-1Solution
x = {0, -3y-1, 3y-1}
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