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Simplifying (5v + -6)(v + -2) = 0 Reorder the terms: (-6 + 5v)(v + -2) = 0 Reorder the terms: (-6 + 5v)(-2 + v) = 0 Multiply (-6 + 5v) * (-2 + v) (-6(-2 + v) + 5v * (-2 + v)) = 0 ((-2 * -6 + v * -6) + 5v * (-2 + v)) = 0 ((12 + -6v) + 5v * (-2 + v)) = 0 (12 + -6v + (-2 * 5v + v * 5v)) = 0 (12 + -6v + (-10v + 5v2)) = 0 Combine like terms: -6v + -10v = -16v (12 + -16v + 5v2) = 0 Solving 12 + -16v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (6 + -5v)(2 + -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 '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {1.2, 2}
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