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Simplifying (-7v2 + 3v + -6) + (5v2 + v + 4) = 0 Reorder the terms: (-6 + 3v + -7v2) + (5v2 + v + 4) = 0 Remove parenthesis around (-6 + 3v + -7v2) -6 + 3v + -7v2 + (5v2 + v + 4) = 0 Reorder the terms: -6 + 3v + -7v2 + (4 + v + 5v2) = 0 Remove parenthesis around (4 + v + 5v2) -6 + 3v + -7v2 + 4 + v + 5v2 = 0 Reorder the terms: -6 + 4 + 3v + v + -7v2 + 5v2 = 0 Combine like terms: -6 + 4 = -2 -2 + 3v + v + -7v2 + 5v2 = 0 Combine like terms: 3v + v = 4v -2 + 4v + -7v2 + 5v2 = 0 Combine like terms: -7v2 + 5v2 = -2v2 -2 + 4v + -2v2 = 0 Solving -2 + 4v + -2v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 2v + -1v2) = 0 Factor a trinomial. 2((-1 + v)(1 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + v)' equal to zero and attempt to solve: Simplifying -1 + v = 0 Solving -1 + v = 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 + v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + v = 0 + 1 v = 0 + 1 Combine like terms: 0 + 1 = 1 v = 1 Simplifying v = 1Subproblem 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 = {1, 1}
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