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Simplifying 5v2 = 18v + 8 Reorder the terms: 5v2 = 8 + 18v Solving 5v2 = 8 + 18v Solving for variable 'v'. Reorder the terms: -8 + -18v + 5v2 = 8 + 18v + -8 + -18v Reorder the terms: -8 + -18v + 5v2 = 8 + -8 + 18v + -18v Combine like terms: 8 + -8 = 0 -8 + -18v + 5v2 = 0 + 18v + -18v -8 + -18v + 5v2 = 18v + -18v Combine like terms: 18v + -18v = 0 -8 + -18v + 5v2 = 0 Factor a trinomial. (-2 + -5v)(4 + -1v) = 0Subproblem 1
Set the factor '(-2 + -5v)' equal to zero and attempt to solve: Simplifying -2 + -5v = 0 Solving -2 + -5v = 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 + -5v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5v = 0 + 2 -5v = 0 + 2 Combine like terms: 0 + 2 = 2 -5v = 2 Divide each side by '-5'. v = -0.4 Simplifying v = -0.4Subproblem 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 = {-0.4, 4}
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