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Simplifying 15v2 + 17v + -14 = 6v Reorder the terms: -14 + 17v + 15v2 = 6v Solving -14 + 17v + 15v2 = 6v Solving for variable 'v'. Reorder the terms: -14 + 17v + -6v + 15v2 = 6v + -6v Combine like terms: 17v + -6v = 11v -14 + 11v + 15v2 = 6v + -6v Combine like terms: 6v + -6v = 0 -14 + 11v + 15v2 = 0 Factor a trinomial. (-7 + -5v)(2 + -3v) = 0Subproblem 1
Set the factor '(-7 + -5v)' equal to zero and attempt to solve: Simplifying -7 + -5v = 0 Solving -7 + -5v = 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 + -5v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5v = 0 + 7 -5v = 0 + 7 Combine like terms: 0 + 7 = 7 -5v = 7 Divide each side by '-5'. v = -1.4 Simplifying v = -1.4Subproblem 2
Set the factor '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 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 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667Solution
v = {-1.4, 0.6666666667}
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