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Simplifying (3v3 + 2v4) + -1(6v3 + 8v4) = 0 Remove parenthesis around (3v3 + 2v4) 3v3 + 2v4 + -1(6v3 + 8v4) = 0 3v3 + 2v4 + (6v3 * -1 + 8v4 * -1) = 0 3v3 + 2v4 + (-6v3 + -8v4) = 0 Reorder the terms: 3v3 + -6v3 + 2v4 + -8v4 = 0 Combine like terms: 3v3 + -6v3 = -3v3 -3v3 + 2v4 + -8v4 = 0 Combine like terms: 2v4 + -8v4 = -6v4 -3v3 + -6v4 = 0 Solving -3v3 + -6v4 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-3v3'. -3v3(1 + 2v) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'v3' equal to zero and attempt to solve: Simplifying v3 = 0 Solving v3 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v3 = 0 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 '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5Solution
v = {-0.5}
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