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