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Simplifying (4 + -1v)(4v + -3) = 0 Reorder the terms: (4 + -1v)(-3 + 4v) = 0 Multiply (4 + -1v) * (-3 + 4v) (4(-3 + 4v) + -1v * (-3 + 4v)) = 0 ((-3 * 4 + 4v * 4) + -1v * (-3 + 4v)) = 0 ((-12 + 16v) + -1v * (-3 + 4v)) = 0 (-12 + 16v + (-3 * -1v + 4v * -1v)) = 0 (-12 + 16v + (3v + -4v2)) = 0 Combine like terms: 16v + 3v = 19v (-12 + 19v + -4v2) = 0 Solving -12 + 19v + -4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + v)(3 + -4v) = 0Subproblem 1
Set the factor '(-4 + v)' equal to zero and attempt to solve: Simplifying -4 + v = 0 Solving -4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + v = 0 + 4 v = 0 + 4 Combine like terms: 0 + 4 = 4 v = 4 Simplifying v = 4Subproblem 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 = {4, 0.75}
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