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Simplifying 5v2 = 21v + -4 Reorder the terms: 5v2 = -4 + 21v Solving 5v2 = -4 + 21v Solving for variable 'v'. Reorder the terms: 4 + -21v + 5v2 = -4 + 21v + 4 + -21v Reorder the terms: 4 + -21v + 5v2 = -4 + 4 + 21v + -21v Combine like terms: -4 + 4 = 0 4 + -21v + 5v2 = 0 + 21v + -21v 4 + -21v + 5v2 = 21v + -21v Combine like terms: 21v + -21v = 0 4 + -21v + 5v2 = 0 Factor a trinomial. (1 + -5v)(4 + -1v) = 0Subproblem 1
Set the factor '(1 + -5v)' equal to zero and attempt to solve: Simplifying 1 + -5v = 0 Solving 1 + -5v = 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 + -5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = 0 + -1 -5v = 0 + -1 Combine like terms: 0 + -1 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2Subproblem 2
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 = 4Solution
v = {0.2, 4}
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