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Simplifying -15v = -1v2 + -56 Reorder the terms: -15v = -56 + -1v2 Solving -15v = -56 + -1v2 Solving for variable 'v'. Reorder the terms: 56 + -15v + v2 = -56 + -1v2 + 56 + v2 Reorder the terms: 56 + -15v + v2 = -56 + 56 + -1v2 + v2 Combine like terms: -56 + 56 = 0 56 + -15v + v2 = 0 + -1v2 + v2 56 + -15v + v2 = -1v2 + v2 Combine like terms: -1v2 + v2 = 0 56 + -15v + v2 = 0 Factor a trinomial. (7 + -1v)(8 + -1v) = 0Subproblem 1
Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 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 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Subproblem 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 = {7, 8}
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