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Simplifying (5v + -3)(4v + 2v + 5) = 0 Reorder the terms: (-3 + 5v)(4v + 2v + 5) = 0 Reorder the terms: (-3 + 5v)(5 + 4v + 2v) = 0 Combine like terms: 4v + 2v = 6v (-3 + 5v)(5 + 6v) = 0 Multiply (-3 + 5v) * (5 + 6v) (-3(5 + 6v) + 5v * (5 + 6v)) = 0 ((5 * -3 + 6v * -3) + 5v * (5 + 6v)) = 0 ((-15 + -18v) + 5v * (5 + 6v)) = 0 (-15 + -18v + (5 * 5v + 6v * 5v)) = 0 (-15 + -18v + (25v + 30v2)) = 0 Combine like terms: -18v + 25v = 7v (-15 + 7v + 30v2) = 0 Solving -15 + 7v + 30v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -6v)(3 + -5v) = 0Subproblem 1
Set the factor '(-5 + -6v)' equal to zero and attempt to solve: Simplifying -5 + -6v = 0 Solving -5 + -6v = 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 + -6v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6v = 0 + 5 -6v = 0 + 5 Combine like terms: 0 + 5 = 5 -6v = 5 Divide each side by '-6'. v = -0.8333333333 Simplifying v = -0.8333333333Subproblem 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 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 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6Solution
v = {-0.8333333333, 0.6}
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