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Simplifying (8v + 3)(5v + -3) = 0 Reorder the terms: (3 + 8v)(5v + -3) = 0 Reorder the terms: (3 + 8v)(-3 + 5v) = 0 Multiply (3 + 8v) * (-3 + 5v) (3(-3 + 5v) + 8v * (-3 + 5v)) = 0 ((-3 * 3 + 5v * 3) + 8v * (-3 + 5v)) = 0 ((-9 + 15v) + 8v * (-3 + 5v)) = 0 (-9 + 15v + (-3 * 8v + 5v * 8v)) = 0 (-9 + 15v + (-24v + 40v2)) = 0 Combine like terms: 15v + -24v = -9v (-9 + -9v + 40v2) = 0 Solving -9 + -9v + 40v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + -8v)(3 + -5v) = 0Subproblem 1
Set the factor '(-3 + -8v)' equal to zero and attempt to solve: Simplifying -3 + -8v = 0 Solving -3 + -8v = 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 + -8v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8v = 0 + 3 -8v = 0 + 3 Combine like terms: 0 + 3 = 3 -8v = 3 Divide each side by '-8'. v = -0.375 Simplifying v = -0.375Subproblem 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 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 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6Solution
v = {-0.375, 0.6}
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