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Simplifying 21v2 + 184v = -75 Reorder the terms: 184v + 21v2 = -75 Solving 184v + 21v2 = -75 Solving for variable 'v'. Reorder the terms: 75 + 184v + 21v2 = -75 + 75 Combine like terms: -75 + 75 = 0 75 + 184v + 21v2 = 0 Factor a trinomial. (25 + 3v)(3 + 7v) = 0Subproblem 1
Set the factor '(25 + 3v)' equal to zero and attempt to solve: Simplifying 25 + 3v = 0 Solving 25 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3v = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3v = 0 + -25 3v = 0 + -25 Combine like terms: 0 + -25 = -25 3v = -25 Divide each side by '3'. v = -8.333333333 Simplifying v = -8.333333333Subproblem 2
Set the factor '(3 + 7v)' equal to zero and attempt to solve: Simplifying 3 + 7v = 0 Solving 3 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7v = 0 + -3 7v = 0 + -3 Combine like terms: 0 + -3 = -3 7v = -3 Divide each side by '7'. v = -0.4285714286 Simplifying v = -0.4285714286Solution
v = {-8.333333333, -0.4285714286}
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