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Simplifying 2xyz + -10xy + -49y = 0 Reorder the terms: -10xy + 2xyz + -49y = 0 Solving -10xy + 2xyz + -49y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49y' to each side of the equation. -10xy + 2xyz + -49y + 49y = 0 + 49y Combine like terms: -49y + 49y = 0 -10xy + 2xyz + 0 = 0 + 49y -10xy + 2xyz = 0 + 49y Remove the zero: -10xy + 2xyz = 49y Combine like terms: 49y + -49y = 0 -10xy + 2xyz + -49y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-10x + 2xz + -49) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(-10x + 2xz + -49)' equal to zero and attempt to solve: Simplifying -10x + 2xz + -49 = 0 Reorder the terms: -49 + -10x + 2xz = 0 Solving -49 + -10x + 2xz = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + -10x + 49 + 2xz = 0 + 49 Reorder the terms: -49 + 49 + -10x + 2xz = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -10x + 2xz = 0 + 49 -10x + 2xz = 0 + 49 Combine like terms: 0 + 49 = 49 -10x + 2xz = 49 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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