2x^4-25x^2+72=0

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Solution for 2x^4-25x^2+72=0 equation: 


Simplifying
2x4 + -25x2 + 72 = 0

Reorder the terms:
72 + -25x2 + 2x4 = 0

Solving
72 + -25x2 + 2x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -2x2)(8 + -1x2) = 0


Subproblem 1
Set the factor '(9 + -2x2)' equal to zero and attempt to solve:

Simplifying
9 + -2x2 = 0

Solving
9 + -2x2 = 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 + -2x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x2 = 0 + -9
-2x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-2x2 = -9

Divide each side by '-2'.
x2 = 4.5

Simplifying
x2 = 4.5

Take the square root of each side:
x = {-2.121320344, 2.121320344}

Subproblem 2
Set the factor '(8 + -1x2)' equal to zero and attempt to solve:

Simplifying
8 + -1x2 = 0

Solving
8 + -1x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x2 = 0 + -8
-1x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x2 = -8

Divide each side by '-1'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}
Solution
x = {-2.121320344, 2.121320344, -2.828427125, 2.828427125}

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