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Simplifying (v + 7w) * x(3v + 3w + -1) = 0 Reorder the terms: (v + 7w) * x(-1 + 3v + 3w) = 0 Reorder the terms for easier multiplication: x(v + 7w)(-1 + 3v + 3w) = 0 Multiply (v + 7w) * (-1 + 3v + 3w) x(v(-1 + 3v + 3w) + 7w * (-1 + 3v + 3w)) = 0 x((-1 * v + 3v * v + 3w * v) + 7w * (-1 + 3v + 3w)) = 0 Reorder the terms: x((-1v + 3vw + 3v2) + 7w * (-1 + 3v + 3w)) = 0 x((-1v + 3vw + 3v2) + 7w * (-1 + 3v + 3w)) = 0 x(-1v + 3vw + 3v2 + (-1 * 7w + 3v * 7w + 3w * 7w)) = 0 Reorder the terms: x(-1v + 3vw + 3v2 + (21vw + -7w + 21w2)) = 0 x(-1v + 3vw + 3v2 + (21vw + -7w + 21w2)) = 0 Reorder the terms: x(-1v + 3vw + 21vw + 3v2 + -7w + 21w2) = 0 Combine like terms: 3vw + 21vw = 24vw x(-1v + 24vw + 3v2 + -7w + 21w2) = 0 (-1v * x + 24vw * x + 3v2 * x + -7w * x + 21w2 * x) = 0 Reorder the terms: (24vwx + -1vx + 3v2x + -7wx + 21w2x) = 0 (24vwx + -1vx + 3v2x + -7wx + 21w2x) = 0 Solving 24vwx + -1vx + 3v2x + -7wx + 21w2x = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'x'. x(24vw + -1v + 3v2 + -7w + 21w2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing v to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(24vw + -1v + 3v2 + -7w + 21w2)' equal to zero and attempt to solve: Simplifying 24vw + -1v + 3v2 + -7w + 21w2 = 0 Reorder the terms: -1v + 24vw + 3v2 + -7w + 21w2 = 0 Solving -1v + 24vw + 3v2 + -7w + 21w2 = 0 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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