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Simplifying 21xy + -280vx3 + 35x4 + -168vy = 0 Reorder the terms: -280vx3 + -168vy + 21xy + 35x4 = 0 Solving -280vx3 + -168vy + 21xy + 35x4 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21xy' to each side of the equation. -280vx3 + -168vy + 21xy + -21xy + 35x4 = 0 + -21xy Combine like terms: 21xy + -21xy = 0 -280vx3 + -168vy + 0 + 35x4 = 0 + -21xy -280vx3 + -168vy + 35x4 = 0 + -21xy Remove the zero: -280vx3 + -168vy + 35x4 = -21xy Add '-35x4' to each side of the equation. -280vx3 + -168vy + 35x4 + -35x4 = -21xy + -35x4 Combine like terms: 35x4 + -35x4 = 0 -280vx3 + -168vy + 0 = -21xy + -35x4 -280vx3 + -168vy = -21xy + -35x4 Reorder the terms: -280vx3 + -168vy + 21xy + 35x4 = -21xy + 21xy + -35x4 + 35x4 Combine like terms: -21xy + 21xy = 0 -280vx3 + -168vy + 21xy + 35x4 = 0 + -35x4 + 35x4 -280vx3 + -168vy + 21xy + 35x4 = -35x4 + 35x4 Combine like terms: -35x4 + 35x4 = 0 -280vx3 + -168vy + 21xy + 35x4 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-40vx3 + -24vy + 3xy + 5x4) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-40vx3 + -24vy + 3xy + 5x4)' equal to zero and attempt to solve: Simplifying -40vx3 + -24vy + 3xy + 5x4 = 0 Solving -40vx3 + -24vy + 3xy + 5x4 = 0 Move all terms containing v to the left, all other terms to the right. Add '-3xy' to each side of the equation. -40vx3 + -24vy + 3xy + -3xy + 5x4 = 0 + -3xy Combine like terms: 3xy + -3xy = 0 -40vx3 + -24vy + 0 + 5x4 = 0 + -3xy -40vx3 + -24vy + 5x4 = 0 + -3xy Remove the zero: -40vx3 + -24vy + 5x4 = -3xy Add '-5x4' to each side of the equation. -40vx3 + -24vy + 5x4 + -5x4 = -3xy + -5x4 Combine like terms: 5x4 + -5x4 = 0 -40vx3 + -24vy + 0 = -3xy + -5x4 -40vx3 + -24vy = -3xy + -5x4 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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