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Simplifying 5v2 = -7v + -2 Reorder the terms: 5v2 = -2 + -7v Solving 5v2 = -2 + -7v Solving for variable 'v'. Reorder the terms: 2 + 7v + 5v2 = -2 + -7v + 2 + 7v Reorder the terms: 2 + 7v + 5v2 = -2 + 2 + -7v + 7v Combine like terms: -2 + 2 = 0 2 + 7v + 5v2 = 0 + -7v + 7v 2 + 7v + 5v2 = -7v + 7v Combine like terms: -7v + 7v = 0 2 + 7v + 5v2 = 0 Factor a trinomial. (1 + v)(2 + 5v) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(2 + 5v)' equal to zero and attempt to solve: Simplifying 2 + 5v = 0 Solving 2 + 5v = 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 + 5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5v = 0 + -2 5v = 0 + -2 Combine like terms: 0 + -2 = -2 5v = -2 Divide each side by '5'. v = -0.4 Simplifying v = -0.4Solution
v = {-1, -0.4}
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