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Simplifying (5v + -3)(v + -6) = 0 Reorder the terms: (-3 + 5v)(v + -6) = 0 Reorder the terms: (-3 + 5v)(-6 + v) = 0 Multiply (-3 + 5v) * (-6 + v) (-3(-6 + v) + 5v * (-6 + v)) = 0 ((-6 * -3 + v * -3) + 5v * (-6 + v)) = 0 ((18 + -3v) + 5v * (-6 + v)) = 0 (18 + -3v + (-6 * 5v + v * 5v)) = 0 (18 + -3v + (-30v + 5v2)) = 0 Combine like terms: -3v + -30v = -33v (18 + -33v + 5v2) = 0 Solving 18 + -33v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + -5v)(6 + -1v) = 0Subproblem 1
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 = 0.6Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 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 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Solution
v = {0.6, 6}
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