5x^4-29x^2+36=0

Solution for 5x^4-29x^2+36=0 equation:

Simplifying
5x4 + -29x2 + 36 = 0

Reorder the terms:
36 + -29x2 + 5x4 = 0

Solving
36 + -29x2 + 5x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -5x2)(4 + -1x2) = 0

Factor a difference between two squares.
(9 + -5x2)((2 + x)(2 + -1x)) = 0

Subproblem 1
Set the factor '(9 + -5x2)' equal to zero and attempt to solve:

Simplifying
9 + -5x2 = 0

Solving
9 + -5x2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x2 = 0 + -9
-5x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-5x2 = -9

Divide each side by '-5'.
x2 = 1.8

Simplifying
x2 = 1.8

Take the square root of each side:
x = {-1.341640787, 1.341640787}
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 = {-1.341640787, 1.341640787, -2, 2}