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Simplifying 7v2 + -22v + -24 = 0 Reorder the terms: -24 + -22v + 7v2 = 0 Solving -24 + -22v + 7v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + -7v)(4 + -1v) = 0Subproblem 1
Set the factor '(-6 + -7v)' equal to zero and attempt to solve: Simplifying -6 + -7v = 0 Solving -6 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7v = 0 + 6 -7v = 0 + 6 Combine like terms: 0 + 6 = 6 -7v = 6 Divide each side by '-7'. v = -0.8571428571 Simplifying v = -0.8571428571Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-0.8571428571, 4}
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