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Simplifying 7v2 + -5v + -18 = 0 Reorder the terms: -18 + -5v + 7v2 = 0 Solving -18 + -5v + 7v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -7v)(2 + -1v) = 0Subproblem 1
Set the factor '(-9 + -7v)' equal to zero and attempt to solve: Simplifying -9 + -7v = 0 Solving -9 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7v = 0 + 9 -7v = 0 + 9 Combine like terms: 0 + 9 = 9 -7v = 9 Divide each side by '-7'. v = -1.285714286 Simplifying v = -1.285714286Subproblem 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 = {-1.285714286, 2}
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