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Simplifying 15x2 + -35xy = 0 Reorder the terms: -35xy + 15x2 = 0 Solving -35xy + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-7y + 3x) = 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 '(-7y + 3x)' equal to zero and attempt to solve: Simplifying -7y + 3x = 0 Reorder the terms: 3x + -7y = 0 Solving 3x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 3x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 3x + 0 = 0 + 7y 3x = 0 + 7y Remove the zero: 3x = 7y Divide each side by '3'. x = 2.333333333y Simplifying x = 2.333333333ySolution
x = {0, 2.333333333y}
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