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Simplifying 5v2 + 11v + -42 = 0 Reorder the terms: -42 + 11v + 5v2 = 0 Solving -42 + 11v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-21 + -5v)(2 + -1v) = 0Subproblem 1
Set the factor '(-21 + -5v)' equal to zero and attempt to solve: Simplifying -21 + -5v = 0 Solving -21 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -5v = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -5v = 0 + 21 -5v = 0 + 21 Combine like terms: 0 + 21 = 21 -5v = 21 Divide each side by '-5'. v = -4.2 Simplifying v = -4.2Subproblem 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 = {-4.2, 2}
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