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Simplifying 5v2 = 12 + -17v Solving 5v2 = 12 + -17v Solving for variable 'v'. Reorder the terms: -12 + 17v + 5v2 = 12 + -17v + -12 + 17v Reorder the terms: -12 + 17v + 5v2 = 12 + -12 + -17v + 17v Combine like terms: 12 + -12 = 0 -12 + 17v + 5v2 = 0 + -17v + 17v -12 + 17v + 5v2 = -17v + 17v Combine like terms: -17v + 17v = 0 -12 + 17v + 5v2 = 0 Factor a trinomial. (-4 + -1v)(3 + -5v) = 0Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 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 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4Subproblem 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6Solution
v = {-4, 0.6}
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