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Simplifying v4 + -2401 = 0 Reorder the terms: -2401 + v4 = 0 Solving -2401 + v4 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2401' to each side of the equation. -2401 + 2401 + v4 = 0 + 2401 Combine like terms: -2401 + 2401 = 0 0 + v4 = 0 + 2401 v4 = 0 + 2401 Combine like terms: 0 + 2401 = 2401 v4 = 2401 Simplifying v4 = 2401 Reorder the terms: -2401 + v4 = 2401 + -2401 Combine like terms: 2401 + -2401 = 0 -2401 + v4 = 0 Factor a difference between two squares. (49 + v2)(-49 + v2) = 0 Factor a difference between two squares. (49 + v2)((7 + v)(-7 + v)) = 0Subproblem 1
Set the factor '(49 + v2)' equal to zero and attempt to solve: Simplifying 49 + v2 = 0 Solving 49 + v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + v2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + v2 = 0 + -49 v2 = 0 + -49 Combine like terms: 0 + -49 = -49 v2 = -49 Simplifying v2 = -49 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 '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 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 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7Subproblem 3
Set the factor '(-7 + v)' equal to zero and attempt to solve: Simplifying -7 + v = 0 Solving -7 + v = 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 + v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + v = 0 + 7 v = 0 + 7 Combine like terms: 0 + 7 = 7 v = 7 Simplifying v = 7Solution
v = {-7, 7}
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