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Simplifying (7v + -5)(v + -2) = 0 Reorder the terms: (-5 + 7v)(v + -2) = 0 Reorder the terms: (-5 + 7v)(-2 + v) = 0 Multiply (-5 + 7v) * (-2 + v) (-5(-2 + v) + 7v * (-2 + v)) = 0 ((-2 * -5 + v * -5) + 7v * (-2 + v)) = 0 ((10 + -5v) + 7v * (-2 + v)) = 0 (10 + -5v + (-2 * 7v + v * 7v)) = 0 (10 + -5v + (-14v + 7v2)) = 0 Combine like terms: -5v + -14v = -19v (10 + -19v + 7v2) = 0 Solving 10 + -19v + 7v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + -7v)(2 + -1v) = 0Subproblem 1
Set the factor '(5 + -7v)' equal to zero and attempt to solve: Simplifying 5 + -7v = 0 Solving 5 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7v = 0 + -5 -7v = 0 + -5 Combine like terms: 0 + -5 = -5 -7v = -5 Divide each side by '-7'. v = 0.7142857143 Simplifying v = 0.7142857143Subproblem 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 = {0.7142857143, 2}
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