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Simplifying (8 + v)(5v + -6) = 0 Reorder the terms: (8 + v)(-6 + 5v) = 0 Multiply (8 + v) * (-6 + 5v) (8(-6 + 5v) + v(-6 + 5v)) = 0 ((-6 * 8 + 5v * 8) + v(-6 + 5v)) = 0 ((-48 + 40v) + v(-6 + 5v)) = 0 (-48 + 40v + (-6 * v + 5v * v)) = 0 (-48 + 40v + (-6v + 5v2)) = 0 Combine like terms: 40v + -6v = 34v (-48 + 34v + 5v2) = 0 Solving -48 + 34v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + -1v)(6 + -5v) = 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 '(6 + -5v)' equal to zero and attempt to solve: Simplifying 6 + -5v = 0 Solving 6 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5v = 0 + -6 -5v = 0 + -6 Combine like terms: 0 + -6 = -6 -5v = -6 Divide each side by '-5'. v = 1.2 Simplifying v = 1.2Solution
v = {-8, 1.2}
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