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Simplifying 4v2 + -3v = 76 Reorder the terms: -3v + 4v2 = 76 Solving -3v + 4v2 = 76 Solving for variable 'v'. Reorder the terms: -76 + -3v + 4v2 = 76 + -76 Combine like terms: 76 + -76 = 0 -76 + -3v + 4v2 = 0 Factor a trinomial. (-4 + -1v)(19 + -4v) = 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 '(19 + -4v)' equal to zero and attempt to solve: Simplifying 19 + -4v = 0 Solving 19 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4v = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4v = 0 + -19 -4v = 0 + -19 Combine like terms: 0 + -19 = -19 -4v = -19 Divide each side by '-4'. v = 4.75 Simplifying v = 4.75Solution
v = {-4, 4.75}
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