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Simplifying 5v2 = -3v + 2 Reorder the terms: 5v2 = 2 + -3v Solving 5v2 = 2 + -3v Solving for variable 'v'. Reorder the terms: -2 + 3v + 5v2 = 2 + -3v + -2 + 3v Reorder the terms: -2 + 3v + 5v2 = 2 + -2 + -3v + 3v Combine like terms: 2 + -2 = 0 -2 + 3v + 5v2 = 0 + -3v + 3v -2 + 3v + 5v2 = -3v + 3v Combine like terms: -3v + 3v = 0 -2 + 3v + 5v2 = 0 Factor a trinomial. (-1 + -1v)(2 + -5v) = 0Subproblem 1
Set the factor '(-1 + -1v)' equal to zero and attempt to solve: Simplifying -1 + -1v = 0 Solving -1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1v = 0 + 1 -1v = 0 + 1 Combine like terms: 0 + 1 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1Subproblem 2
Set the factor '(2 + -5v)' equal to zero and attempt to solve: Simplifying 2 + -5v = 0 Solving 2 + -5v = 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 + -5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = 0 + -2 -5v = 0 + -2 Combine like terms: 0 + -2 = -2 -5v = -2 Divide each side by '-5'. v = 0.4 Simplifying v = 0.4Solution
v = {-1, 0.4}
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