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Simplifying 14v2 = 45v + 14 Reorder the terms: 14v2 = 14 + 45v Solving 14v2 = 14 + 45v Solving for variable 'v'. Reorder the terms: -14 + -45v + 14v2 = 14 + 45v + -14 + -45v Reorder the terms: -14 + -45v + 14v2 = 14 + -14 + 45v + -45v Combine like terms: 14 + -14 = 0 -14 + -45v + 14v2 = 0 + 45v + -45v -14 + -45v + 14v2 = 45v + -45v Combine like terms: 45v + -45v = 0 -14 + -45v + 14v2 = 0 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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