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Simplifying (5v + -8)(9 + v) = 0 Reorder the terms: (-8 + 5v)(9 + v) = 0 Multiply (-8 + 5v) * (9 + v) (-8(9 + v) + 5v * (9 + v)) = 0 ((9 * -8 + v * -8) + 5v * (9 + v)) = 0 ((-72 + -8v) + 5v * (9 + v)) = 0 (-72 + -8v + (9 * 5v + v * 5v)) = 0 (-72 + -8v + (45v + 5v2)) = 0 Combine like terms: -8v + 45v = 37v (-72 + 37v + 5v2) = 0 Solving -72 + 37v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -1v)(8 + -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 '(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 = {-9, 1.6}
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