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Simplifying x4 + -36x2 + 275 = 0 Reorder the terms: 275 + -36x2 + x4 = 0 Solving 275 + -36x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (11 + -1x2)(25 + -1x2) = 0 Factor a difference between two squares. (11 + -1x2)((5 + x)(5 + -1x)) = 0Subproblem 1
Set the factor '(11 + -1x2)' equal to zero and attempt to solve: Simplifying 11 + -1x2 = 0 Solving 11 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x2 = 0 + -11 -1x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -1x2 = -11 Divide each side by '-1'. x2 = 11 Simplifying x2 = 11 Take the square root of each side: x = {-3.31662479, 3.31662479}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 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-3.31662479, 3.31662479, -5, 5}
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