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Simplifying X4 + -25 = 600 Reorder the terms: -25 + X4 = 600 Solving -25 + X4 = 600 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + X4 = 600 + 25 Combine like terms: -25 + 25 = 0 0 + X4 = 600 + 25 X4 = 600 + 25 Combine like terms: 600 + 25 = 625 X4 = 625 Simplifying X4 = 625 Reorder the terms: -625 + X4 = 625 + -625 Combine like terms: 625 + -625 = 0 -625 + X4 = 0 Factor a difference between two squares. (25 + X2)(-25 + X2) = 0 Factor a difference between two squares. (25 + X2)((5 + X)(-5 + X)) = 0Subproblem 1
Set the factor '(25 + X2)' equal to zero and attempt to solve: Simplifying 25 + X2 = 0 Solving 25 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + X2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + X2 = 0 + -25 X2 = 0 + -25 Combine like terms: 0 + -25 = -25 X2 = -25 Simplifying X2 = -25 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 '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Subproblem 3
Set the factor '(-5 + X)' equal to zero and attempt to solve: Simplifying -5 + X = 0 Solving -5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + X = 0 + 5 X = 0 + 5 Combine like terms: 0 + 5 = 5 X = 5 Simplifying X = 5Solution
X = {-5, 5}
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