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Simplifying 14v2 + -53v + 14 = 0 Reorder the terms: 14 + -53v + 14v2 = 0 Solving 14 + -53v + 14v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + -7v)(7 + -2v) = 0Subproblem 1
Set the factor '(2 + -7v)' equal to zero and attempt to solve: Simplifying 2 + -7v = 0 Solving 2 + -7v = 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 + -7v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7v = 0 + -2 -7v = 0 + -2 Combine like terms: 0 + -2 = -2 -7v = -2 Divide each side by '-7'. v = 0.2857142857 Simplifying v = 0.2857142857Subproblem 2
Set the factor '(7 + -2v)' equal to zero and attempt to solve: Simplifying 7 + -2v = 0 Solving 7 + -2v = 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 + -2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = 0 + -7 -2v = 0 + -7 Combine like terms: 0 + -7 = -7 -2v = -7 Divide each side by '-2'. v = 3.5 Simplifying v = 3.5Solution
v = {0.2857142857, 3.5}
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