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Simplifying (-5v + -5)(8v + -6) = 0 Reorder the terms: (-5 + -5v)(8v + -6) = 0 Reorder the terms: (-5 + -5v)(-6 + 8v) = 0 Multiply (-5 + -5v) * (-6 + 8v) (-5(-6 + 8v) + -5v * (-6 + 8v)) = 0 ((-6 * -5 + 8v * -5) + -5v * (-6 + 8v)) = 0 ((30 + -40v) + -5v * (-6 + 8v)) = 0 (30 + -40v + (-6 * -5v + 8v * -5v)) = 0 (30 + -40v + (30v + -40v2)) = 0 Combine like terms: -40v + 30v = -10v (30 + -10v + -40v2) = 0 Solving 30 + -10v + -40v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '10'. 10(3 + -1v + -4v2) = 0 Factor a trinomial. 10((3 + -4v)(1 + v)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(3 + -4v)' equal to zero and attempt to solve: Simplifying 3 + -4v = 0 Solving 3 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 0 + -3 -4v = 0 + -3 Combine like terms: 0 + -3 = -3 -4v = -3 Divide each side by '-4'. v = 0.75 Simplifying v = 0.75Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {0.75, -1}
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