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Simplifying 5v2 + 7 = -12v Reorder the terms: 7 + 5v2 = -12v Solving 7 + 5v2 = -12v Solving for variable 'v'. Reorder the terms: 7 + 12v + 5v2 = -12v + 12v Combine like terms: -12v + 12v = 0 7 + 12v + 5v2 = 0 Factor a trinomial. (7 + 5v)(1 + v) = 0Subproblem 1
Set the factor '(7 + 5v)' equal to zero and attempt to solve: Simplifying 7 + 5v = 0 Solving 7 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5v = 0 + -7 5v = 0 + -7 Combine like terms: 0 + -7 = -7 5v = -7 Divide each side by '5'. v = -1.4 Simplifying v = -1.4Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {-1.4, -1}
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