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Simplifying 21 = v(v + -4) Reorder the terms: 21 = v(-4 + v) 21 = (-4 * v + v * v) 21 = (-4v + v2) Solving 21 = -4v + v2 Solving for variable 'v'. Reorder the terms: 21 + 4v + -1v2 = -4v + 4v + v2 + -1v2 Combine like terms: -4v + 4v = 0 21 + 4v + -1v2 = 0 + v2 + -1v2 21 + 4v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 21 + 4v + -1v2 = 0 Factor a trinomial. (7 + -1v)(3 + v) = 0Subproblem 1
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 = 7Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 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 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {7, -3}
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