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Simplifying (9 + v)(5v + -4) = 0 Reorder the terms: (9 + v)(-4 + 5v) = 0 Multiply (9 + v) * (-4 + 5v) (9(-4 + 5v) + v(-4 + 5v)) = 0 ((-4 * 9 + 5v * 9) + v(-4 + 5v)) = 0 ((-36 + 45v) + v(-4 + 5v)) = 0 (-36 + 45v + (-4 * v + 5v * v)) = 0 (-36 + 45v + (-4v + 5v2)) = 0 Combine like terms: 45v + -4v = 41v (-36 + 41v + 5v2) = 0 Solving -36 + 41v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -1v)(4 + -5v) = 0Subproblem 1
Set the factor '(-9 + -1v)' equal to zero and attempt to solve: Simplifying -9 + -1v = 0 Solving -9 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 0 + 9 -1v = 0 + 9 Combine like terms: 0 + 9 = 9 -1v = 9 Divide each side by '-1'. v = -9 Simplifying v = -9Subproblem 2
Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 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 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8Solution
v = {-9, 0.8}
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