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Simplifying 2v2 = 35 + 9v Solving 2v2 = 35 + 9v Solving for variable 'v'. Reorder the terms: -35 + -9v + 2v2 = 35 + 9v + -35 + -9v Reorder the terms: -35 + -9v + 2v2 = 35 + -35 + 9v + -9v Combine like terms: 35 + -35 = 0 -35 + -9v + 2v2 = 0 + 9v + -9v -35 + -9v + 2v2 = 9v + -9v Combine like terms: 9v + -9v = 0 -35 + -9v + 2v2 = 0 Factor a trinomial. (-5 + -2v)(7 + -1v) = 0Subproblem 1
Set the factor '(-5 + -2v)' equal to zero and attempt to solve: Simplifying -5 + -2v = 0 Solving -5 + -2v = 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 + -2v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2v = 0 + 5 -2v = 0 + 5 Combine like terms: 0 + 5 = 5 -2v = 5 Divide each side by '-2'. v = -2.5 Simplifying v = -2.5Subproblem 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 = {-2.5, 7}
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