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Simplifying (7x2y + -4xy2)(1x2y) = 0 Reorder the terms: (-4xy2 + 7x2y)(1x2y) = 0 Remove parenthesis around (1x2y) (-4xy2 + 7x2y) * 1x2y = 0 Reorder the terms for easier multiplication: 1x2y(-4xy2 + 7x2y) = 0 (-4xy2 * 1x2y + 7x2y * 1x2y) = 0 (-4x3y3 + 7x4y2) = 0 Solving -4x3y3 + 7x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3y2'. x3y2(-4y + 7x) = 0Subproblem 1
Set the factor 'x3y2' equal to zero and attempt to solve: Simplifying x3y2 = 0 Solving x3y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y2 = 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 '(-4y + 7x)' equal to zero and attempt to solve: Simplifying -4y + 7x = 0 Reorder the terms: 7x + -4y = 0 Solving 7x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 7x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 7x + 0 = 0 + 4y 7x = 0 + 4y Remove the zero: 7x = 4y Divide each side by '7'. x = 0.5714285714y Simplifying x = 0.5714285714ySolution
x = {0.5714285714y}
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