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Simplifying 23x4 + -425x2 + 912 = 0 Reorder the terms: 912 + -425x2 + 23x4 = 0 Solving 912 + -425x2 + 23x4 = 0 Solving for variable 'x'. Factor a trinomial. (57 + -23x2)(16 + -1x2) = 0 Factor a difference between two squares. (57 + -23x2)((4 + x)(4 + -1x)) = 0Subproblem 1
Set the factor '(57 + -23x2)' equal to zero and attempt to solve: Simplifying 57 + -23x2 = 0 Solving 57 + -23x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -23x2 = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -23x2 = 0 + -57 -23x2 = 0 + -57 Combine like terms: 0 + -57 = -57 -23x2 = -57 Divide each side by '-23'. x2 = 2.47826087 Simplifying x2 = 2.47826087 Take the square root of each side: x = {-1.574249304, 1.574249304}Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-1.574249304, 1.574249304, -4, 4}
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