2x^4-5x^2=63

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Solution for 2x^4-5x^2=63 equation: 


Simplifying
2x4 + -5x2 = 63

Reorder the terms:
-5x2 + 2x4 = 63

Solving
-5x2 + 2x4 = 63

Solving for variable 'x'.

Reorder the terms:
-63 + -5x2 + 2x4 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + -5x2 + 2x4 = 0

Factor a trinomial.
(-9 + -2x2)(7 + -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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7 + -1x2)' equal to zero and attempt to solve:

Simplifying
7 + -1x2 = 0

Solving
7 + -1x2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2 = 0 + -7
-1x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x2 = -7

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}
Solution
x = {-2.645751311, 2.645751311}

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