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Simplifying v2 = 77 + -4v Solving v2 = 77 + -4v Solving for variable 'v'. Reorder the terms: -77 + 4v + v2 = 77 + -4v + -77 + 4v Reorder the terms: -77 + 4v + v2 = 77 + -77 + -4v + 4v Combine like terms: 77 + -77 = 0 -77 + 4v + v2 = 0 + -4v + 4v -77 + 4v + v2 = -4v + 4v Combine like terms: -4v + 4v = 0 -77 + 4v + v2 = 0 Factor a trinomial. (-11 + -1v)(7 + -1v) = 0Subproblem 1
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 = -11Subproblem 2
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 = 7Solution
v = {-11, 7}
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