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Simplifying a4 + -2401 = 0 Reorder the terms: -2401 + a4 = 0 Solving -2401 + a4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2401' to each side of the equation. -2401 + 2401 + a4 = 0 + 2401 Combine like terms: -2401 + 2401 = 0 0 + a4 = 0 + 2401 a4 = 0 + 2401 Combine like terms: 0 + 2401 = 2401 a4 = 2401 Simplifying a4 = 2401 Reorder the terms: -2401 + a4 = 2401 + -2401 Combine like terms: 2401 + -2401 = 0 -2401 + a4 = 0 Factor a difference between two squares. (49 + a2)(-49 + a2) = 0 Factor a difference between two squares. (49 + a2)((7 + a)(-7 + a)) = 0Subproblem 1
Set the factor '(49 + a2)' equal to zero and attempt to solve: Simplifying 49 + a2 = 0 Solving 49 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + a2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + a2 = 0 + -49 a2 = 0 + -49 Combine like terms: 0 + -49 = -49 a2 = -49 Simplifying a2 = -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 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7Subproblem 3
Set the factor '(-7 + a)' equal to zero and attempt to solve: Simplifying -7 + a = 0 Solving -7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + a = 0 + 7 a = 0 + 7 Combine like terms: 0 + 7 = 7 a = 7 Simplifying a = 7Solution
a = {-7, 7}
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