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Simplifying (xy2 + 7xy)(-1x2y + 4x2y2) = 0 Reorder the terms: (7xy + xy2)(-1x2y + 4x2y2) = 0 Multiply (7xy + xy2) * (-1x2y + 4x2y2) (7xy * (-1x2y + 4x2y2) + xy2(-1x2y + 4x2y2)) = 0 ((-1x2y * 7xy + 4x2y2 * 7xy) + xy2(-1x2y + 4x2y2)) = 0 ((-7x3y2 + 28x3y3) + xy2(-1x2y + 4x2y2)) = 0 (-7x3y2 + 28x3y3 + (-1x2y * xy2 + 4x2y2 * xy2)) = 0 (-7x3y2 + 28x3y3 + (-1x3y3 + 4x3y4)) = 0 Combine like terms: 28x3y3 + -1x3y3 = 27x3y3 (-7x3y2 + 27x3y3 + 4x3y4) = 0 Solving -7x3y2 + 27x3y3 + 4x3y4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x3y2'. x3y2(-7 + 27y + 4y2) = 0 Factor a trinomial. x3y2((-7 + -1y)(1 + -4y)) = 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 '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Add 'y' to each side of the equation. -1y + y = 7 + y Combine like terms: -1y + y = 0 0 = 7 + y Simplifying 0 = 7 + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -4y)' equal to zero and attempt to solve: Simplifying 1 + -4y = 0 Solving 1 + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Add '4y' to each side of the equation. -4y + 4y = -1 + 4y Combine like terms: -4y + 4y = 0 0 = -1 + 4y Simplifying 0 = -1 + 4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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