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Simplifying 15v2 = 2 + 7v Solving 15v2 = 2 + 7v Solving for variable 'v'. Reorder the terms: -2 + -7v + 15v2 = 2 + 7v + -2 + -7v Reorder the terms: -2 + -7v + 15v2 = 2 + -2 + 7v + -7v Combine like terms: 2 + -2 = 0 -2 + -7v + 15v2 = 0 + 7v + -7v -2 + -7v + 15v2 = 7v + -7v Combine like terms: 7v + -7v = 0 -2 + -7v + 15v2 = 0 Factor a trinomial. (-1 + -5v)(2 + -3v) = 0Subproblem 1
Set the factor '(-1 + -5v)' equal to zero and attempt to solve: Simplifying -1 + -5v = 0 Solving -1 + -5v = 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 + -5v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5v = 0 + 1 -5v = 0 + 1 Combine like terms: 0 + 1 = 1 -5v = 1 Divide each side by '-5'. v = -0.2 Simplifying v = -0.2Subproblem 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 = {-0.2, 0.6666666667}
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