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Simplifying 14x5y4 + -35x3y6 = 0 Reorder the terms: -35x3y6 + 14x5y4 = 0 Solving -35x3y6 + 14x5y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x3y4'. 7x3y4(-5y2 + 2x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x3y4' equal to zero and attempt to solve: Simplifying x3y4 = 0 Solving x3y4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5y2 + 2x2)' equal to zero and attempt to solve: Simplifying -5y2 + 2x2 = 0 Reorder the terms: 2x2 + -5y2 = 0 Solving 2x2 + -5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5y2' to each side of the equation. 2x2 + -5y2 + 5y2 = 0 + 5y2 Combine like terms: -5y2 + 5y2 = 0 2x2 + 0 = 0 + 5y2 2x2 = 0 + 5y2 Remove the zero: 2x2 = 5y2 Divide each side by '2'. x2 = 2.5y2 Simplifying x2 = 2.5y2 Take the square root of each side: x = {-1.58113883y, 1.58113883y}Solution
x = {-1.58113883y, 1.58113883y}
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