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Simplifying 81w2 + -1v4w2 = 0 Reorder the terms: -1v4w2 + 81w2 = 0 Solving -1v4w2 + 81w2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-81w2' to each side of the equation. -1v4w2 + 81w2 + -81w2 = 0 + -81w2 Combine like terms: 81w2 + -81w2 = 0 -1v4w2 + 0 = 0 + -81w2 -1v4w2 = 0 + -81w2 Remove the zero: -1v4w2 = -81w2 Divide each side by '-1w2'. v4 = 81 Simplifying v4 = 81 Reorder the terms: -81 + v4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + v4 = 0 Factor a difference between two squares. (9 + v2)(-9 + v2) = 0 Factor a difference between two squares. (9 + v2)((3 + v)(-3 + v)) = 0Subproblem 1
Set the factor '(9 + v2)' equal to zero and attempt to solve: Simplifying 9 + v2 = 0 Solving 9 + v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + v2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + v2 = 0 + -9 v2 = 0 + -9 Combine like terms: 0 + -9 = -9 v2 = -9 Simplifying v2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Subproblem 3
Set the factor '(-3 + v)' equal to zero and attempt to solve: Simplifying -3 + v = 0 Solving -3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + v = 0 + 3 v = 0 + 3 Combine like terms: 0 + 3 = 3 v = 3 Simplifying v = 3Solution
v = {-3, 3}
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