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Simplifying X4 + -50X2 + -1875 = 0 Reorder the terms: -1875 + -50X2 + X4 = 0 Solving -1875 + -50X2 + X4 = 0 Solving for variable 'X'. Factor a trinomial. (-25 + -1X2)(75 + -1X2) = 0Subproblem 1
Set the factor '(-25 + -1X2)' equal to zero and attempt to solve: Simplifying -25 + -1X2 = 0 Solving -25 + -1X2 = 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 + -1X2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1X2 = 0 + 25 -1X2 = 0 + 25 Combine like terms: 0 + 25 = 25 -1X2 = 25 Divide each side by '-1'. 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 '(75 + -1X2)' equal to zero and attempt to solve: Simplifying 75 + -1X2 = 0 Solving 75 + -1X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -1X2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1X2 = 0 + -75 -1X2 = 0 + -75 Combine like terms: 0 + -75 = -75 -1X2 = -75 Divide each side by '-1'. X2 = 75 Simplifying X2 = 75 Take the square root of each side: X = {-8.660254038, 8.660254038}Solution
X = {-8.660254038, 8.660254038}
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