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Simplifying (5v + -2)(6 + v) = 0 Reorder the terms: (-2 + 5v)(6 + v) = 0 Multiply (-2 + 5v) * (6 + v) (-2(6 + v) + 5v * (6 + v)) = 0 ((6 * -2 + v * -2) + 5v * (6 + v)) = 0 ((-12 + -2v) + 5v * (6 + v)) = 0 (-12 + -2v + (6 * 5v + v * 5v)) = 0 (-12 + -2v + (30v + 5v2)) = 0 Combine like terms: -2v + 30v = 28v (-12 + 28v + 5v2) = 0 Solving -12 + 28v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + -1v)(2 + -5v) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(2 + -5v)' equal to zero and attempt to solve: Simplifying 2 + -5v = 0 Solving 2 + -5v = 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 + -5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = 0 + -2 -5v = 0 + -2 Combine like terms: 0 + -2 = -2 -5v = -2 Divide each side by '-5'. v = 0.4 Simplifying v = 0.4Solution
v = {-6, 0.4}
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