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Simplifying 5x2y(7x2 + -4xy2) = 0 Reorder the terms: 5x2y(-4xy2 + 7x2) = 0 (-4xy2 * 5x2y + 7x2 * 5x2y) = 0 (-20x3y3 + 35x4y) = 0 Solving -20x3y3 + 35x4y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x3y'. 5x3y(-4y2 + 7x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x3y' equal to zero and attempt to solve: Simplifying x3y = 0 Solving x3y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y = 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 '(-4y2 + 7x)' equal to zero and attempt to solve: Simplifying -4y2 + 7x = 0 Reorder the terms: 7x + -4y2 = 0 Solving 7x + -4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4y2' to each side of the equation. 7x + -4y2 + 4y2 = 0 + 4y2 Combine like terms: -4y2 + 4y2 = 0 7x + 0 = 0 + 4y2 7x = 0 + 4y2 Remove the zero: 7x = 4y2 Divide each side by '7'. x = 0.5714285714y2 Simplifying x = 0.5714285714y2Solution
x = {0.5714285714y2}
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