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Simplifying 7v2 + -18 = -15v Reorder the terms: -18 + 7v2 = -15v Solving -18 + 7v2 = -15v Solving for variable 'v'. Reorder the terms: -18 + 15v + 7v2 = -15v + 15v Combine like terms: -15v + 15v = 0 -18 + 15v + 7v2 = 0 Factor a trinomial. (-3 + -1v)(6 + -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 '(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 = 0.8571428571Solution
v = {-3, 0.8571428571}
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