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Simplifying 9v = 2v * v + -35 Multiply v * v 9v = 2v2 + -35 Reorder the terms: 9v = -35 + 2v2 Solving 9v = -35 + 2v2 Solving for variable 'v'. Reorder the terms: 35 + 9v + -2v2 = -35 + 2v2 + 35 + -2v2 Reorder the terms: 35 + 9v + -2v2 = -35 + 35 + 2v2 + -2v2 Combine like terms: -35 + 35 = 0 35 + 9v + -2v2 = 0 + 2v2 + -2v2 35 + 9v + -2v2 = 2v2 + -2v2 Combine like terms: 2v2 + -2v2 = 0 35 + 9v + -2v2 = 0 Factor a trinomial. (7 + -1v)(5 + 2v) = 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 '(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 = -2.5Solution
v = {7, -2.5}
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