[x][x][x][x]-9[x][x]+20=0

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Solution for [x][x][x][x]-9[x][x]+20=0 equation: 


Simplifying
[x][x][x][x] + -9[x][x] + 20 = 0

Multiply x * x
x2 * x * x + -9[x][x] + 20 = 0

Multiply x2 * x
x3 * x + -9[x][x] + 20 = 0

Multiply x3 * x
x4 + -9[x][x] + 20 = 0

Multiply x * x
x4 + -9x2 + 20 = 0

Reorder the terms:
20 + -9x2 + x4 = 0

Solving
20 + -9x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x2)(5 + -1x2) = 0

Factor a difference between two squares.
((2 + x)(2 + -1x))(5 + -1x2) = 0


Subproblem 1
Set the factor '(5 + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 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 + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 0 + -5
-1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2 = -5

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-2.236067978, 2.236067978, -2, 2}

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