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Simplifying (3v + 7)(4v + -3) = 0 Reorder the terms: (7 + 3v)(4v + -3) = 0 Reorder the terms: (7 + 3v)(-3 + 4v) = 0 Multiply (7 + 3v) * (-3 + 4v) (7(-3 + 4v) + 3v * (-3 + 4v)) = 0 ((-3 * 7 + 4v * 7) + 3v * (-3 + 4v)) = 0 ((-21 + 28v) + 3v * (-3 + 4v)) = 0 (-21 + 28v + (-3 * 3v + 4v * 3v)) = 0 (-21 + 28v + (-9v + 12v2)) = 0 Combine like terms: 28v + -9v = 19v (-21 + 19v + 12v2) = 0 Solving -21 + 19v + 12v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + -3v)(3 + -4v) = 0Subproblem 1
Set the factor '(-7 + -3v)' equal to zero and attempt to solve: Simplifying -7 + -3v = 0 Solving -7 + -3v = 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 + -3v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3v = 0 + 7 -3v = 0 + 7 Combine like terms: 0 + 7 = 7 -3v = 7 Divide each side by '-3'. v = -2.333333333 Simplifying v = -2.333333333Subproblem 2
Set the factor '(3 + -4v)' equal to zero and attempt to solve: Simplifying 3 + -4v = 0 Solving 3 + -4v = 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 + -4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 0 + -3 -4v = 0 + -3 Combine like terms: 0 + -3 = -3 -4v = -3 Divide each side by '-4'. v = 0.75 Simplifying v = 0.75Solution
v = {-2.333333333, 0.75}
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