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Simplifying 24 = -1v2 + 10v Reorder the terms: 24 = 10v + -1v2 Solving 24 = 10v + -1v2 Solving for variable 'v'. Reorder the terms: 24 + -10v + v2 = 10v + -10v + -1v2 + v2 Combine like terms: 10v + -10v = 0 24 + -10v + v2 = 0 + -1v2 + v2 24 + -10v + v2 = -1v2 + v2 Combine like terms: -1v2 + v2 = 0 24 + -10v + v2 = 0 Factor a trinomial. (4 + -1v)(6 + -1v) = 0Subproblem 1
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Solution
v = {4, 6}
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