x^4+1125=134x^2

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Solution for x^4+1125=134x^2 equation: 


Simplifying
x4 + 1125 = 134x2

Reorder the terms:
1125 + x4 = 134x2

Solving
1125 + x4 = 134x2

Solving for variable 'x'.

Reorder the terms:
1125 + -134x2 + x4 = 134x2 + -134x2

Combine like terms: 134x2 + -134x2 = 0
1125 + -134x2 + x4 = 0

Factor a trinomial.
(9 + -1x2)(125 + -1x2) = 0

Factor a difference between two squares.
((3 + x)(3 + -1x))(125 + -1x2) = 0


Subproblem 1
Set the factor '(125 + -1x2)' equal to zero and attempt to solve:

Simplifying
125 + -1x2 = 0

Solving
125 + -1x2 = 0

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

Add '-125' to each side of the equation.
125 + -125 + -1x2 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + -1x2 = 0 + -125
-1x2 = 0 + -125

Combine like terms: 0 + -125 = -125
-1x2 = -125

Divide each side by '-1'.
x2 = 125

Simplifying
x2 = 125

Take the square root of each side:
x = {-11.180339887, 11.180339887}

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

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-11.180339887, 11.180339887, -3, 3}

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