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Simplifying (5v + -1)(6v + -1) = 0 Reorder the terms: (-1 + 5v)(6v + -1) = 0 Reorder the terms: (-1 + 5v)(-1 + 6v) = 0 Multiply (-1 + 5v) * (-1 + 6v) (-1(-1 + 6v) + 5v * (-1 + 6v)) = 0 ((-1 * -1 + 6v * -1) + 5v * (-1 + 6v)) = 0 ((1 + -6v) + 5v * (-1 + 6v)) = 0 (1 + -6v + (-1 * 5v + 6v * 5v)) = 0 (1 + -6v + (-5v + 30v2)) = 0 Combine like terms: -6v + -5v = -11v (1 + -11v + 30v2) = 0 Solving 1 + -11v + 30v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -6v)(1 + -5v) = 0Subproblem 1
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 = 0.1666666667Subproblem 2
Set the factor '(1 + -5v)' equal to zero and attempt to solve: Simplifying 1 + -5v = 0 Solving 1 + -5v = 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 + -5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = 0 + -1 -5v = 0 + -1 Combine like terms: 0 + -1 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2Solution
v = {0.1666666667, 0.2}
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