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Simplifying 12v2w + -13vw + -35w = 0 Reorder the terms: -13vw + 12v2w + -35w = 0 Solving -13vw + 12v2w + -35w = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'w'. w(-13v + 12v2 + -35) = 0 Factor a trinomial. w((3v + -7)(4v + 5)) = 0Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing v to the left, all other terms to the right. Add '-1w' to each side of the equation. w + -1w = 0 + -1w Remove the zero: 0 = -1w Simplifying 0 = -1w 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 '(3v + -7)' equal to zero and attempt to solve: Simplifying 3v + -7 = 0 Reorder the terms: -7 + 3v = 0 Solving -7 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3v = 0 + 7 3v = 0 + 7 Combine like terms: 0 + 7 = 7 3v = 7 Divide each side by '3'. v = 2.333333333 Simplifying v = 2.333333333Subproblem 3
Set the factor '(4v + 5)' equal to zero and attempt to solve: Simplifying 4v + 5 = 0 Reorder the terms: 5 + 4v = 0 Solving 5 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4v = 0 + -5 4v = 0 + -5 Combine like terms: 0 + -5 = -5 4v = -5 Divide each side by '4'. v = -1.25 Simplifying v = -1.25Solution
v = {2.333333333, -1.25}
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