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Simplifying 3v2 = -7v + 20 Reorder the terms: 3v2 = 20 + -7v Solving 3v2 = 20 + -7v Solving for variable 'v'. Reorder the terms: -20 + 7v + 3v2 = 20 + -7v + -20 + 7v Reorder the terms: -20 + 7v + 3v2 = 20 + -20 + -7v + 7v Combine like terms: 20 + -20 = 0 -20 + 7v + 3v2 = 0 + -7v + 7v -20 + 7v + 3v2 = -7v + 7v Combine like terms: -7v + 7v = 0 -20 + 7v + 3v2 = 0 Factor a trinomial. (-4 + -1v)(5 + -3v) = 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 '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667Solution
v = {-4, 1.666666667}
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