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Simplifying (6 + v)(5v + -8) = 0 Reorder the terms: (6 + v)(-8 + 5v) = 0 Multiply (6 + v) * (-8 + 5v) (6(-8 + 5v) + v(-8 + 5v)) = 0 ((-8 * 6 + 5v * 6) + v(-8 + 5v)) = 0 ((-48 + 30v) + v(-8 + 5v)) = 0 (-48 + 30v + (-8 * v + 5v * v)) = 0 (-48 + 30v + (-8v + 5v2)) = 0 Combine like terms: 30v + -8v = 22v (-48 + 22v + 5v2) = 0 Solving -48 + 22v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + -1v)(8 + -5v) = 0Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve: Simplifying -6 + -1v = 0 Solving -6 + -1v = 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 + -1v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1v = 0 + 6 -1v = 0 + 6 Combine like terms: 0 + 6 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6Subproblem 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 = {-6, 1.6}
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