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Simplifying 3v2(8v2 + 10vb2 + -7b2) = 0 Reorder the terms: 3v2(-7b2 + 10b2v + 8v2) = 0 (-7b2 * 3v2 + 10b2v * 3v2 + 8v2 * 3v2) = 0 (-21b2v2 + 30b2v3 + 24v4) = 0 Solving -21b2v2 + 30b2v3 + 24v4 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24v4' to each side of the equation. -21b2v2 + 30b2v3 + 24v4 + -24v4 = 0 + -24v4 Combine like terms: 24v4 + -24v4 = 0 -21b2v2 + 30b2v3 + 0 = 0 + -24v4 -21b2v2 + 30b2v3 = 0 + -24v4 Remove the zero: -21b2v2 + 30b2v3 = -24v4 Combine like terms: -24v4 + 24v4 = 0 -21b2v2 + 30b2v3 + 24v4 = 0 Factor out the Greatest Common Factor (GCF), '3v2'. 3v2(-7b2 + 10b2v + 8v2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve: Simplifying v2 = 0 Solving v2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1v2' to each side of the equation. v2 + -1v2 = 0 + -1v2 Remove the zero: 0 = -1v2 Simplifying 0 = -1v2 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 '(-7b2 + 10b2v + 8v2)' equal to zero and attempt to solve: Simplifying -7b2 + 10b2v + 8v2 = 0 Solving -7b2 + 10b2v + 8v2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-8v2' to each side of the equation. -7b2 + 10b2v + 8v2 + -8v2 = 0 + -8v2 Combine like terms: 8v2 + -8v2 = 0 -7b2 + 10b2v + 0 = 0 + -8v2 -7b2 + 10b2v = 0 + -8v2 Remove the zero: -7b2 + 10b2v = -8v2 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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