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Simplifying 15v2 + -22v + -48 = 0 Reorder the terms: -48 + -22v + 15v2 = 0 Solving -48 + -22v + 15v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + -5v)(8 + -3v) = 0Subproblem 1
Set the factor '(-6 + -5v)' equal to zero and attempt to solve: Simplifying -6 + -5v = 0 Solving -6 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5v = 0 + 6 -5v = 0 + 6 Combine like terms: 0 + 6 = 6 -5v = 6 Divide each side by '-5'. v = -1.2 Simplifying v = -1.2Subproblem 2
Set the factor '(8 + -3v)' equal to zero and attempt to solve: Simplifying 8 + -3v = 0 Solving 8 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3v = 0 + -8 -3v = 0 + -8 Combine like terms: 0 + -8 = -8 -3v = -8 Divide each side by '-3'. v = 2.666666667 Simplifying v = 2.666666667Solution
v = {-1.2, 2.666666667}
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