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Simplifying 14v2 + -15v + 4 = 0 Reorder the terms: 4 + -15v + 14v2 = 0 Solving 4 + -15v + 14v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -2v)(4 + -7v) = 0Subproblem 1
Set the factor '(1 + -2v)' equal to zero and attempt to solve: Simplifying 1 + -2v = 0 Solving 1 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 0 + -1 -2v = 0 + -1 Combine like terms: 0 + -1 = -1 -2v = -1 Divide each side by '-2'. v = 0.5 Simplifying v = 0.5Subproblem 2
Set the factor '(4 + -7v)' equal to zero and attempt to solve: Simplifying 4 + -7v = 0 Solving 4 + -7v = 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 + -7v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7v = 0 + -4 -7v = 0 + -4 Combine like terms: 0 + -4 = -4 -7v = -4 Divide each side by '-7'. v = 0.5714285714 Simplifying v = 0.5714285714Solution
v = {0.5, 0.5714285714}
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