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Simplifying 30 + 7v = 4v2 Solving 30 + 7v = 4v2 Solving for variable 'v'. Combine like terms: 4v2 + -4v2 = 0 30 + 7v + -4v2 = 0 Factor a trinomial. (15 + -4v)(2 + v) = 0Subproblem 1
Set the factor '(15 + -4v)' equal to zero and attempt to solve: Simplifying 15 + -4v = 0 Solving 15 + -4v = 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 + -4v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4v = 0 + -15 -4v = 0 + -15 Combine like terms: 0 + -15 = -15 -4v = -15 Divide each side by '-4'. v = 3.75 Simplifying v = 3.75Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {3.75, -2}
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