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Simplifying 5v2 + -2 = 3v Reorder the terms: -2 + 5v2 = 3v Solving -2 + 5v2 = 3v Solving for variable 'v'. Reorder the terms: -2 + -3v + 5v2 = 3v + -3v Combine like terms: 3v + -3v = 0 -2 + -3v + 5v2 = 0 Factor a trinomial. (-2 + -5v)(1 + -1v) = 0Subproblem 1
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 = -0.4Subproblem 2
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 = 1Solution
v = {-0.4, 1}
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