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Simplifying 6xy3(xy2 + -8xy + 7x) = 0 Reorder the terms: 6xy3(7x + -8xy + xy2) = 0 (7x * 6xy3 + -8xy * 6xy3 + xy2 * 6xy3) = 0 (42x2y3 + -48x2y4 + 6x2y5) = 0 Solving 42x2y3 + -48x2y4 + 6x2y5 = 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), '6x2y3'. 6x2y3(7 + -8y + y2) = 0 Factor a trinomial. 6x2y3((1 + -1y)(7 + -1y)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve: Simplifying x2y3 = 0 Solving x2y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y3 = 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 '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Add 'y' to each side of the equation. -1y + y = -1 + y Combine like terms: -1y + y = 0 0 = -1 + y Simplifying 0 = -1 + 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 '(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. The solution to this equation could not be determined.
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