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Simplifying v2 + -10v + -79 = -4 Reorder the terms: -79 + -10v + v2 = -4 Solving -79 + -10v + v2 = -4 Solving for variable 'v'. Reorder the terms: -79 + 4 + -10v + v2 = -4 + 4 Combine like terms: -79 + 4 = -75 -75 + -10v + v2 = -4 + 4 Combine like terms: -4 + 4 = 0 -75 + -10v + v2 = 0 Factor a trinomial. (-5 + -1v)(15 + -1v) = 0Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve: Simplifying -5 + -1v = 0 Solving -5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 0 + 5 -1v = 0 + 5 Combine like terms: 0 + 5 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5Subproblem 2
Set the factor '(15 + -1v)' equal to zero and attempt to solve: Simplifying 15 + -1v = 0 Solving 15 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1v = 0 + -15 -1v = 0 + -15 Combine like terms: 0 + -15 = -15 -1v = -15 Divide each side by '-1'. v = 15 Simplifying v = 15Solution
v = {-5, 15}
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