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Simplifying v2 + -4v + -77 = 0 Reorder the terms: -77 + -4v + v2 = 0 Solving -77 + -4v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + -1v)(11 + -1v) = 0Subproblem 1
Set the factor '(-7 + -1v)' equal to zero and attempt to solve: Simplifying -7 + -1v = 0 Solving -7 + -1v = 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 + -1v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1v = 0 + 7 -1v = 0 + 7 Combine like terms: 0 + 7 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7Subproblem 2
Set the factor '(11 + -1v)' equal to zero and attempt to solve: Simplifying 11 + -1v = 0 Solving 11 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1v = 0 + -11 -1v = 0 + -11 Combine like terms: 0 + -11 = -11 -1v = -11 Divide each side by '-1'. v = 11 Simplifying v = 11Solution
v = {-7, 11}
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