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Simplifying x4 + -525x2 + -62500 = 0 Reorder the terms: -62500 + -525x2 + x4 = 0 Solving -62500 + -525x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-100 + -1x2)(625 + -1x2) = 0 Factor a difference between two squares. (-100 + -1x2)((25 + x)(25 + -1x)) = 0Subproblem 1
Set the factor '(-100 + -1x2)' equal to zero and attempt to solve: Simplifying -100 + -1x2 = 0 Solving -100 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + -1x2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -1x2 = 0 + 100 -1x2 = 0 + 100 Combine like terms: 0 + 100 = 100 -1x2 = 100 Divide each side by '-1'. x2 = -100 Simplifying x2 = -100 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 '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 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 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Subproblem 3
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 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 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {-25, 25}
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