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Simplifying (8 + v)(4v + -3) = 0 Reorder the terms: (8 + v)(-3 + 4v) = 0 Multiply (8 + v) * (-3 + 4v) (8(-3 + 4v) + v(-3 + 4v)) = 0 ((-3 * 8 + 4v * 8) + v(-3 + 4v)) = 0 ((-24 + 32v) + v(-3 + 4v)) = 0 (-24 + 32v + (-3 * v + 4v * v)) = 0 (-24 + 32v + (-3v + 4v2)) = 0 Combine like terms: 32v + -3v = 29v (-24 + 29v + 4v2) = 0 Solving -24 + 29v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + -1v)(3 + -4v) = 0Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 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 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8Subproblem 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 = {-8, 0.75}
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