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Simplifying X4 + -98X2 + 2401 = 0 Reorder the terms: 2401 + -98X2 + X4 = 0 Solving 2401 + -98X2 + X4 = 0 Solving for variable 'X'. Factor a trinomial. (49 + -1X2)(49 + -1X2) = 0 Factor a difference between two squares. ((7 + X)(7 + -1X))(49 + -1X2) = 0 Factor a difference between two squares. ((7 + X)(7 + -1X))(7 + X)(7 + -1X) = 0Subproblem 1
Set the factor '(7 + X)' equal to zero and attempt to solve: Simplifying 7 + X = 0 Solving 7 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + X = 0 + -7 X = 0 + -7 Combine like terms: 0 + -7 = -7 X = -7 Simplifying X = -7Subproblem 2
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Subproblem 3
Set the factor '(7 + X)' equal to zero and attempt to solve: Simplifying 7 + X = 0 Solving 7 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + X = 0 + -7 X = 0 + -7 Combine like terms: 0 + -7 = -7 X = -7 Simplifying X = -7Subproblem 4
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Solution
X = {-7, 7, -7, 7}
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