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Simplifying 3v2 + -18v + 25 = -2 Reorder the terms: 25 + -18v + 3v2 = -2 Solving 25 + -18v + 3v2 = -2 Solving for variable 'v'. Reorder the terms: 25 + 2 + -18v + 3v2 = -2 + 2 Combine like terms: 25 + 2 = 27 27 + -18v + 3v2 = -2 + 2 Combine like terms: -2 + 2 = 0 27 + -18v + 3v2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(9 + -6v + v2) = 0 Factor a trinomial. 3((3 + -1v)(3 + -1v)) = 0 Ignore the factor 3.Subproblem 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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