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Simplifying 5v2 = 108 + -7v Solving 5v2 = 108 + -7v Solving for variable 'v'. Reorder the terms: -108 + 7v + 5v2 = 108 + -7v + -108 + 7v Reorder the terms: -108 + 7v + 5v2 = 108 + -108 + -7v + 7v Combine like terms: 108 + -108 = 0 -108 + 7v + 5v2 = 0 + -7v + 7v -108 + 7v + 5v2 = -7v + 7v Combine like terms: -7v + 7v = 0 -108 + 7v + 5v2 = 0 Factor a trinomial. (-27 + -5v)(4 + -1v) = 0Subproblem 1
Set the factor '(-27 + -5v)' equal to zero and attempt to solve: Simplifying -27 + -5v = 0 Solving -27 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -5v = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -5v = 0 + 27 -5v = 0 + 27 Combine like terms: 0 + 27 = 27 -5v = 27 Divide each side by '-5'. v = -5.4 Simplifying v = -5.4Subproblem 2
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 = 4Solution
v = {-5.4, 4}
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