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Simplifying (v + -5)(5v + -6) = 0 Reorder the terms: (-5 + v)(5v + -6) = 0 Reorder the terms: (-5 + v)(-6 + 5v) = 0 Multiply (-5 + v) * (-6 + 5v) (-5(-6 + 5v) + v(-6 + 5v)) = 0 ((-6 * -5 + 5v * -5) + v(-6 + 5v)) = 0 ((30 + -25v) + v(-6 + 5v)) = 0 (30 + -25v + (-6 * v + 5v * v)) = 0 (30 + -25v + (-6v + 5v2)) = 0 Combine like terms: -25v + -6v = -31v (30 + -31v + 5v2) = 0 Solving 30 + -31v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (6 + -5v)(5 + -1v) = 0Subproblem 1
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 = 1.2Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {1.2, 5}
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