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Simplifying 13x3y3 + 78x3y2 + -91x3y = 0 Reorder the terms: -91x3y + 78x3y2 + 13x3y3 = 0 Solving -91x3y + 78x3y2 + 13x3y3 = 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), '13x3y'. 13x3y(-7 + 6y + y2) = 0 Factor a trinomial. 13x3y((-7 + -1y)(1 + -1y)) = 0 Ignore the factor 13.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 '(-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 + -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. The solution to this equation could not be determined.
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