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Simplifying 4v(3v + 8) = 35 Reorder the terms: 4v(8 + 3v) = 35 (8 * 4v + 3v * 4v) = 35 (32v + 12v2) = 35 Solving 32v + 12v2 = 35 Solving for variable 'v'. Reorder the terms: -35 + 32v + 12v2 = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + 32v + 12v2 = 0 Factor a trinomial. (-7 + -2v)(5 + -6v) = 0Subproblem 1
Set the factor '(-7 + -2v)' equal to zero and attempt to solve: Simplifying -7 + -2v = 0 Solving -7 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2v = 0 + 7 -2v = 0 + 7 Combine like terms: 0 + 7 = 7 -2v = 7 Divide each side by '-2'. v = -3.5 Simplifying v = -3.5Subproblem 2
Set the factor '(5 + -6v)' equal to zero and attempt to solve: Simplifying 5 + -6v = 0 Solving 5 + -6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6v = 0 + -5 -6v = 0 + -5 Combine like terms: 0 + -5 = -5 -6v = -5 Divide each side by '-6'. v = 0.8333333333 Simplifying v = 0.8333333333Solution
v = {-3.5, 0.8333333333}
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