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Simplifying 7v2 = -18v + 9 Reorder the terms: 7v2 = 9 + -18v Solving 7v2 = 9 + -18v Solving for variable 'v'. Reorder the terms: -9 + 18v + 7v2 = 9 + -18v + -9 + 18v Reorder the terms: -9 + 18v + 7v2 = 9 + -9 + -18v + 18v Combine like terms: 9 + -9 = 0 -9 + 18v + 7v2 = 0 + -18v + 18v -9 + 18v + 7v2 = -18v + 18v Combine like terms: -18v + 18v = 0 -9 + 18v + 7v2 = 0 Factor a trinomial. (-3 + -1v)(3 + -7v) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(3 + -7v)' equal to zero and attempt to solve: Simplifying 3 + -7v = 0 Solving 3 + -7v = 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 + -7v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7v = 0 + -3 -7v = 0 + -3 Combine like terms: 0 + -3 = -3 -7v = -3 Divide each side by '-7'. v = 0.4285714286 Simplifying v = 0.4285714286Solution
v = {-3, 0.4285714286}
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