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Simplifying 5x3y + -15x2 = 0 Reorder the terms: -15x2 + 5x3y = 0 Solving -15x2 + 5x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-3 + xy) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 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-1Solution
x = {0, 3y-1}
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