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Simplifying v2 + -4v + -19 = -7 Reorder the terms: -19 + -4v + v2 = -7 Solving -19 + -4v + v2 = -7 Solving for variable 'v'. Reorder the terms: -19 + 7 + -4v + v2 = -7 + 7 Combine like terms: -19 + 7 = -12 -12 + -4v + v2 = -7 + 7 Combine like terms: -7 + 7 = 0 -12 + -4v + v2 = 0 Factor a trinomial. (-2 + -1v)(6 + -1v) = 0Subproblem 1
Set the factor '(-2 + -1v)' equal to zero and attempt to solve: Simplifying -2 + -1v = 0 Solving -2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1v = 0 + 2 -1v = 0 + 2 Combine like terms: 0 + 2 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Solution
v = {-2, 6}
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