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Simplifying 7v2 = 61v + -40 Reorder the terms: 7v2 = -40 + 61v Solving 7v2 = -40 + 61v Solving for variable 'v'. Reorder the terms: 40 + -61v + 7v2 = -40 + 61v + 40 + -61v Reorder the terms: 40 + -61v + 7v2 = -40 + 40 + 61v + -61v Combine like terms: -40 + 40 = 0 40 + -61v + 7v2 = 0 + 61v + -61v 40 + -61v + 7v2 = 61v + -61v Combine like terms: 61v + -61v = 0 40 + -61v + 7v2 = 0 Factor a trinomial. (5 + -7v)(8 + -1v) = 0Subproblem 1
Set the factor '(5 + -7v)' equal to zero and attempt to solve: Simplifying 5 + -7v = 0 Solving 5 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7v = 0 + -5 -7v = 0 + -5 Combine like terms: 0 + -5 = -5 -7v = -5 Divide each side by '-7'. v = 0.7142857143 Simplifying v = 0.7142857143Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {0.7142857143, 8}
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