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Simplifying 3v2 + -19v + 35 = 7 Reorder the terms: 35 + -19v + 3v2 = 7 Solving 35 + -19v + 3v2 = 7 Solving for variable 'v'. Reorder the terms: 35 + -7 + -19v + 3v2 = 7 + -7 Combine like terms: 35 + -7 = 28 28 + -19v + 3v2 = 7 + -7 Combine like terms: 7 + -7 = 0 28 + -19v + 3v2 = 0 Factor a trinomial. (7 + -3v)(4 + -1v) = 0Subproblem 1
Set the factor '(7 + -3v)' equal to zero and attempt to solve: Simplifying 7 + -3v = 0 Solving 7 + -3v = 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 + -3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 0 + -7 -3v = 0 + -7 Combine like terms: 0 + -7 = -7 -3v = -7 Divide each side by '-3'. v = 2.333333333 Simplifying v = 2.333333333Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {2.333333333, 4}
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