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Simplifying 6v2 + -18v + 5 = -7 Reorder the terms: 5 + -18v + 6v2 = -7 Solving 5 + -18v + 6v2 = -7 Solving for variable 'v'. Reorder the terms: 5 + 7 + -18v + 6v2 = -7 + 7 Combine like terms: 5 + 7 = 12 12 + -18v + 6v2 = -7 + 7 Combine like terms: -7 + 7 = 0 12 + -18v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(2 + -3v + v2) = 0 Factor a trinomial. 6((1 + -1v)(2 + -1v)) = 0 Ignore the factor 6.Subproblem 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 '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 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 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {1, 2}
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