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Simplifying (4 + -1v)(5v + 8) = 0 Reorder the terms: (4 + -1v)(8 + 5v) = 0 Multiply (4 + -1v) * (8 + 5v) (4(8 + 5v) + -1v * (8 + 5v)) = 0 ((8 * 4 + 5v * 4) + -1v * (8 + 5v)) = 0 ((32 + 20v) + -1v * (8 + 5v)) = 0 (32 + 20v + (8 * -1v + 5v * -1v)) = 0 (32 + 20v + (-8v + -5v2)) = 0 Combine like terms: 20v + -8v = 12v (32 + 12v + -5v2) = 0 Solving 32 + 12v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (4 + -1v)(8 + 5v) = 0Subproblem 1
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Subproblem 2
Set the factor '(8 + 5v)' equal to zero and attempt to solve: Simplifying 8 + 5v = 0 Solving 8 + 5v = 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 + 5v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5v = 0 + -8 5v = 0 + -8 Combine like terms: 0 + -8 = -8 5v = -8 Divide each side by '5'. v = -1.6 Simplifying v = -1.6Solution
v = {4, -1.6}
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