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Simplifying v2 + -11v + 28 = 4 Reorder the terms: 28 + -11v + v2 = 4 Solving 28 + -11v + v2 = 4 Solving for variable 'v'. Reorder the terms: 28 + -4 + -11v + v2 = 4 + -4 Combine like terms: 28 + -4 = 24 24 + -11v + v2 = 4 + -4 Combine like terms: 4 + -4 = 0 24 + -11v + v2 = 0 Factor a trinomial. (3 + -1v)(8 + -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 '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {3, 8}
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