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Simplifying 7v2 + -17v = 12 Reorder the terms: -17v + 7v2 = 12 Solving -17v + 7v2 = 12 Solving for variable 'v'. Reorder the terms: -12 + -17v + 7v2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -17v + 7v2 = 0 Factor a trinomial. (-4 + -7v)(3 + -1v) = 0Subproblem 1
Set the factor '(-4 + -7v)' equal to zero and attempt to solve: Simplifying -4 + -7v = 0 Solving -4 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7v = 0 + 4 -7v = 0 + 4 Combine like terms: 0 + 4 = 4 -7v = 4 Divide each side by '-7'. v = -0.5714285714 Simplifying v = -0.5714285714Subproblem 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 = {-0.5714285714, 3}
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