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Simplifying 5v2 + 9 = 6v + 4v2 Reorder the terms: 9 + 5v2 = 6v + 4v2 Solving 9 + 5v2 = 6v + 4v2 Solving for variable 'v'. Reorder the terms: 9 + -6v + 5v2 + -4v2 = 6v + 4v2 + -6v + -4v2 Combine like terms: 5v2 + -4v2 = 1v2 9 + -6v + 1v2 = 6v + 4v2 + -6v + -4v2 Reorder the terms: 9 + -6v + 1v2 = 6v + -6v + 4v2 + -4v2 Combine like terms: 6v + -6v = 0 9 + -6v + 1v2 = 0 + 4v2 + -4v2 9 + -6v + 1v2 = 4v2 + -4v2 Combine like terms: 4v2 + -4v2 = 0 9 + -6v + 1v2 = 0 Factor a trinomial. (3 + -1v)(3 + -1v) = 0Subproblem 1
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {3, 3}
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