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Simplifying 5v2 = v + 76 Reorder the terms: 5v2 = 76 + v Solving 5v2 = 76 + v Solving for variable 'v'. Reorder the terms: -76 + -1v + 5v2 = 76 + v + -76 + -1v Reorder the terms: -76 + -1v + 5v2 = 76 + -76 + v + -1v Combine like terms: 76 + -76 = 0 -76 + -1v + 5v2 = 0 + v + -1v -76 + -1v + 5v2 = v + -1v Combine like terms: v + -1v = 0 -76 + -1v + 5v2 = 0 Factor a trinomial. (-19 + -5v)(4 + -1v) = 0Subproblem 1
Set the factor '(-19 + -5v)' equal to zero and attempt to solve: Simplifying -19 + -5v = 0 Solving -19 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -5v = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -5v = 0 + 19 -5v = 0 + 19 Combine like terms: 0 + 19 = 19 -5v = 19 Divide each side by '-5'. v = -3.8 Simplifying v = -3.8Subproblem 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 = {-3.8, 4}
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