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Simplifying 4v2 + -48v + -52 = 0 Reorder the terms: -52 + -48v + 4v2 = 0 Solving -52 + -48v + 4v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4'. 4(-13 + -12v + v2) = 0 Factor a trinomial. 4((-1 + -1v)(13 + -1v)) = 0 Ignore the factor 4.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 '(13 + -1v)' equal to zero and attempt to solve: Simplifying 13 + -1v = 0 Solving 13 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1v = 0 + -13 -1v = 0 + -13 Combine like terms: 0 + -13 = -13 -1v = -13 Divide each side by '-1'. v = 13 Simplifying v = 13Solution
v = {-1, 13}
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