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Simplifying v2 + 25v + -3750 = 0 Reorder the terms: -3750 + 25v + v2 = 0 Solving -3750 + 25v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-75 + -1v)(50 + -1v) = 0Subproblem 1
Set the factor '(-75 + -1v)' equal to zero and attempt to solve: Simplifying -75 + -1v = 0 Solving -75 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -1v = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -1v = 0 + 75 -1v = 0 + 75 Combine like terms: 0 + 75 = 75 -1v = 75 Divide each side by '-1'. v = -75 Simplifying v = -75Subproblem 2
Set the factor '(50 + -1v)' equal to zero and attempt to solve: Simplifying 50 + -1v = 0 Solving 50 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1v = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1v = 0 + -50 -1v = 0 + -50 Combine like terms: 0 + -50 = -50 -1v = -50 Divide each side by '-1'. v = 50 Simplifying v = 50Solution
v = {-75, 50}
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