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Simplifying 8v2 + 16v + -29 = -5 Reorder the terms: -29 + 16v + 8v2 = -5 Solving -29 + 16v + 8v2 = -5 Solving for variable 'v'. Reorder the terms: -29 + 5 + 16v + 8v2 = -5 + 5 Combine like terms: -29 + 5 = -24 -24 + 16v + 8v2 = -5 + 5 Combine like terms: -5 + 5 = 0 -24 + 16v + 8v2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-3 + 2v + v2) = 0 Factor a trinomial. 8((-3 + -1v)(1 + -1v)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3Subproblem 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 = {-3, 1}
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