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Simplifying 3v2 + 36v + 49 = 8v Reorder the terms: 49 + 36v + 3v2 = 8v Solving 49 + 36v + 3v2 = 8v Solving for variable 'v'. Reorder the terms: 49 + 36v + -8v + 3v2 = 8v + -8v Combine like terms: 36v + -8v = 28v 49 + 28v + 3v2 = 8v + -8v Combine like terms: 8v + -8v = 0 49 + 28v + 3v2 = 0 Factor a trinomial. (7 + v)(7 + 3v) = 0Subproblem 1
Set the factor '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 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 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7Subproblem 2
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 = -2.333333333Solution
v = {-7, -2.333333333}
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