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