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Simplifying 5v(v + -2) + -6 = -6(-2v + 3) + -3v Reorder the terms: 5v(-2 + v) + -6 = -6(-2v + 3) + -3v (-2 * 5v + v * 5v) + -6 = -6(-2v + 3) + -3v (-10v + 5v2) + -6 = -6(-2v + 3) + -3v Reorder the terms: -6 + -10v + 5v2 = -6(-2v + 3) + -3v Reorder the terms: -6 + -10v + 5v2 = -6(3 + -2v) + -3v -6 + -10v + 5v2 = (3 * -6 + -2v * -6) + -3v -6 + -10v + 5v2 = (-18 + 12v) + -3v Combine like terms: 12v + -3v = 9v -6 + -10v + 5v2 = -18 + 9v Solving -6 + -10v + 5v2 = -18 + 9v Solving for variable 'v'. Reorder the terms: -6 + 18 + -10v + -9v + 5v2 = -18 + 9v + 18 + -9v Combine like terms: -6 + 18 = 12 12 + -10v + -9v + 5v2 = -18 + 9v + 18 + -9v Combine like terms: -10v + -9v = -19v 12 + -19v + 5v2 = -18 + 9v + 18 + -9v Reorder the terms: 12 + -19v + 5v2 = -18 + 18 + 9v + -9v Combine like terms: -18 + 18 = 0 12 + -19v + 5v2 = 0 + 9v + -9v 12 + -19v + 5v2 = 9v + -9v Combine like terms: 9v + -9v = 0 12 + -19v + 5v2 = 0 Factor a trinomial. (4 + -5v)(3 + -1v) = 0Subproblem 1
Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {0.8, 3}
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