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Simplifying 7v2 + -16v + -15 = 0 Reorder the terms: -15 + -16v + 7v2 = 0 Solving -15 + -16v + 7v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -7v)(3 + -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 '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {-0.7142857143, 3}
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