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Simplifying 21d(y + -1v) + 6x(y + -1v) = 0 Reorder the terms: 21d(-1v + y) + 6x(y + -1v) = 0 (-1v * 21d + y * 21d) + 6x(y + -1v) = 0 (-21dv + 21dy) + 6x(y + -1v) = 0 Reorder the terms: -21dv + 21dy + 6x(-1v + y) = 0 -21dv + 21dy + (-1v * 6x + y * 6x) = 0 -21dv + 21dy + (-6vx + 6xy) = 0 Solving -21dv + 21dy + -6vx + 6xy = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6vx' to each side of the equation. -21dv + 21dy + -6vx + 6vx + 6xy = 0 + 6vx Combine like terms: -6vx + 6vx = 0 -21dv + 21dy + 0 + 6xy = 0 + 6vx -21dv + 21dy + 6xy = 0 + 6vx Remove the zero: -21dv + 21dy + 6xy = 6vx Add '-6xy' to each side of the equation. -21dv + 21dy + 6xy + -6xy = 6vx + -6xy Combine like terms: 6xy + -6xy = 0 -21dv + 21dy + 0 = 6vx + -6xy -21dv + 21dy = 6vx + -6xy Reorder the terms: -21dv + 21dy + -6vx + 6xy = 6vx + -6vx + -6xy + 6xy Combine like terms: 6vx + -6vx = 0 -21dv + 21dy + -6vx + 6xy = 0 + -6xy + 6xy -21dv + 21dy + -6vx + 6xy = -6xy + 6xy Combine like terms: -6xy + 6xy = 0 -21dv + 21dy + -6vx + 6xy = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7dv + 7dy + -2vx + 2xy) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7dv + 7dy + -2vx + 2xy)' equal to zero and attempt to solve: Simplifying -7dv + 7dy + -2vx + 2xy = 0 Solving -7dv + 7dy + -2vx + 2xy = 0 Move all terms containing d to the left, all other terms to the right. Add '2vx' to each side of the equation. -7dv + 7dy + -2vx + 2vx + 2xy = 0 + 2vx Combine like terms: -2vx + 2vx = 0 -7dv + 7dy + 0 + 2xy = 0 + 2vx -7dv + 7dy + 2xy = 0 + 2vx Remove the zero: -7dv + 7dy + 2xy = 2vx Add '-2xy' to each side of the equation. -7dv + 7dy + 2xy + -2xy = 2vx + -2xy Combine like terms: 2xy + -2xy = 0 -7dv + 7dy + 0 = 2vx + -2xy -7dv + 7dy = 2vx + -2xy 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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