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Simplifying 8 = v(v + -7) Reorder the terms: 8 = v(-7 + v) 8 = (-7 * v + v * v) 8 = (-7v + v2) Solving 8 = -7v + v2 Solving for variable 'v'. Reorder the terms: 8 + 7v + -1v2 = -7v + 7v + v2 + -1v2 Combine like terms: -7v + 7v = 0 8 + 7v + -1v2 = 0 + v2 + -1v2 8 + 7v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 8 + 7v + -1v2 = 0 Factor a trinomial. (8 + -1v)(1 + v) = 0Subproblem 1
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 = 8Subproblem 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 = {8, -1}
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