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Simplifying (v + 21)(6v + -1) = 0 Reorder the terms: (21 + v)(6v + -1) = 0 Reorder the terms: (21 + v)(-1 + 6v) = 0 Multiply (21 + v) * (-1 + 6v) (21(-1 + 6v) + v(-1 + 6v)) = 0 ((-1 * 21 + 6v * 21) + v(-1 + 6v)) = 0 ((-21 + 126v) + v(-1 + 6v)) = 0 (-21 + 126v + (-1 * v + 6v * v)) = 0 (-21 + 126v + (-1v + 6v2)) = 0 Combine like terms: 126v + -1v = 125v (-21 + 125v + 6v2) = 0 Solving -21 + 125v + 6v2 = 0 Solving for variable 'v'. Factor a trinomial. (-21 + -1v)(1 + -6v) = 0Subproblem 1
Set the factor '(-21 + -1v)' equal to zero and attempt to solve: Simplifying -21 + -1v = 0 Solving -21 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1v = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1v = 0 + 21 -1v = 0 + 21 Combine like terms: 0 + 21 = 21 -1v = 21 Divide each side by '-1'. v = -21 Simplifying v = -21Subproblem 2
Set the factor '(1 + -6v)' equal to zero and attempt to solve: Simplifying 1 + -6v = 0 Solving 1 + -6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6v = 0 + -1 -6v = 0 + -1 Combine like terms: 0 + -1 = -1 -6v = -1 Divide each side by '-6'. v = 0.1666666667 Simplifying v = 0.1666666667Solution
v = {-21, 0.1666666667}
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