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Simplifying 6v2 + -8v + 5 = -2 + 5v2 Reorder the terms: 5 + -8v + 6v2 = -2 + 5v2 Solving 5 + -8v + 6v2 = -2 + 5v2 Solving for variable 'v'. Reorder the terms: 5 + 2 + -8v + 6v2 + -5v2 = -2 + 5v2 + 2 + -5v2 Combine like terms: 5 + 2 = 7 7 + -8v + 6v2 + -5v2 = -2 + 5v2 + 2 + -5v2 Combine like terms: 6v2 + -5v2 = 1v2 7 + -8v + 1v2 = -2 + 5v2 + 2 + -5v2 Reorder the terms: 7 + -8v + 1v2 = -2 + 2 + 5v2 + -5v2 Combine like terms: -2 + 2 = 0 7 + -8v + 1v2 = 0 + 5v2 + -5v2 7 + -8v + 1v2 = 5v2 + -5v2 Combine like terms: 5v2 + -5v2 = 0 7 + -8v + 1v2 = 0 Factor a trinomial. (1 + -1v)(7 + -1v) = 0Subproblem 1
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Solution
v = {1, 7}
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