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Simplifying 5v6 + -30v5 = -45v4 Reorder the terms: -30v5 + 5v6 = -45v4 Solving -30v5 + 5v6 = -45v4 Solving for variable 'v'. Reorder the terms: 45v4 + -30v5 + 5v6 = -45v4 + 45v4 Combine like terms: -45v4 + 45v4 = 0 45v4 + -30v5 + 5v6 = 0 Factor out the Greatest Common Factor (GCF), '5v4'. 5v4(9 + -6v + v2) = 0 Factor a trinomial. 5v4((3 + -1v)(3 + -1v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'v4' equal to zero and attempt to solve: Simplifying v4 = 0 Solving v4 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v4 = 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 '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Subproblem 3
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {3, 3}
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