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Simplifying (-5v2 + 4v) + (-1v2 + -6v + 3v) = 0 Reorder the terms: (4v + -5v2) + (-1v2 + -6v + 3v) = 0 Remove parenthesis around (4v + -5v2) 4v + -5v2 + (-1v2 + -6v + 3v) = 0 Reorder the terms: 4v + -5v2 + (-6v + 3v + -1v2) = 0 Combine like terms: -6v + 3v = -3v 4v + -5v2 + (-3v + -1v2) = 0 Remove parenthesis around (-3v + -1v2) 4v + -5v2 + -3v + -1v2 = 0 Reorder the terms: 4v + -3v + -5v2 + -1v2 = 0 Combine like terms: 4v + -3v = 1v 1v + -5v2 + -1v2 = 0 Combine like terms: -5v2 + -1v2 = -6v2 1v + -6v2 = 0 Solving 1v + -6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(1 + -6v) = 0Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(1 + -6v)' equal to zero and attempt to solve: Simplifying 1 + -6v = 0 Solving 1 + -6v = 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 + -6v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6v = 0 + -1 -6v = 0 + -1 Combine like terms: 0 + -1 = -1 -6v = -1 Divide each side by '-6'. v = 0.1666666667 Simplifying v = 0.1666666667Solution
v = {0, 0.1666666667}
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