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Simplifying r4 + -2401 = 0 Reorder the terms: -2401 + r4 = 0 Solving -2401 + r4 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2401' to each side of the equation. -2401 + 2401 + r4 = 0 + 2401 Combine like terms: -2401 + 2401 = 0 0 + r4 = 0 + 2401 r4 = 0 + 2401 Combine like terms: 0 + 2401 = 2401 r4 = 2401 Simplifying r4 = 2401 Reorder the terms: -2401 + r4 = 2401 + -2401 Combine like terms: 2401 + -2401 = 0 -2401 + r4 = 0 Factor a difference between two squares. (49 + r2)(-49 + r2) = 0 Factor a difference between two squares. (49 + r2)((7 + r)(-7 + r)) = 0Subproblem 1
Set the factor '(49 + r2)' equal to zero and attempt to solve: Simplifying 49 + r2 = 0 Solving 49 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + r2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + r2 = 0 + -49 r2 = 0 + -49 Combine like terms: 0 + -49 = -49 r2 = -49 Simplifying r2 = -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 + r)' equal to zero and attempt to solve: Simplifying 7 + r = 0 Solving 7 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + r = 0 + -7 r = 0 + -7 Combine like terms: 0 + -7 = -7 r = -7 Simplifying r = -7Subproblem 3
Set the factor '(-7 + r)' equal to zero and attempt to solve: Simplifying -7 + r = 0 Solving -7 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + r = 0 + 7 r = 0 + 7 Combine like terms: 0 + 7 = 7 r = 7 Simplifying r = 7Solution
r = {-7, 7}
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