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Simplifying v2 + -6v = 91 Reorder the terms: -6v + v2 = 91 Solving -6v + v2 = 91 Solving for variable 'v'. Reorder the terms: -91 + -6v + v2 = 91 + -91 Combine like terms: 91 + -91 = 0 -91 + -6v + v2 = 0 Factor a trinomial. (-7 + -1v)(13 + -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 '(13 + -1v)' equal to zero and attempt to solve: Simplifying 13 + -1v = 0 Solving 13 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1v = 0 + -13 -1v = 0 + -13 Combine like terms: 0 + -13 = -13 -1v = -13 Divide each side by '-1'. v = 13 Simplifying v = 13Solution
v = {-7, 13}
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