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Simplifying 5(v + 2)(-1v + 1) = 0 Reorder the terms: 5(2 + v)(-1v + 1) = 0 Reorder the terms: 5(2 + v)(1 + -1v) = 0 Multiply (2 + v) * (1 + -1v) 5(2(1 + -1v) + v(1 + -1v)) = 0 5((1 * 2 + -1v * 2) + v(1 + -1v)) = 0 5((2 + -2v) + v(1 + -1v)) = 0 5(2 + -2v + (1 * v + -1v * v)) = 0 5(2 + -2v + (1v + -1v2)) = 0 Combine like terms: -2v + 1v = -1v 5(2 + -1v + -1v2) = 0 (2 * 5 + -1v * 5 + -1v2 * 5) = 0 (10 + -5v + -5v2) = 0 Solving 10 + -5v + -5v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5'. 5(2 + -1v + -1v2) = 0 Factor a trinomial. 5((1 + -1v)(2 + v)) = 0 Ignore the factor 5.Subproblem 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 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 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 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {1, -2}
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