(x^2)*((x^2)-3)=28

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Solution for (x^2)*((x^2)-3)=28 equation: 


Simplifying
(x2)((x2) + -3) = 28
x2(x2 + -3) = 28

Reorder the terms:
x2(-3 + x2) = 28
(-3 * x2 + x2 * x2) = 28
(-3x2 + x4) = 28

Solving
-3x2 + x4 = 28

Solving for variable 'x'.

Reorder the terms:
-28 + -3x2 + x4 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + -3x2 + x4 = 0

Factor a trinomial.
(-4 + -1x2)(7 + -1x2) = 0


Subproblem 1
Set the factor '(-4 + -1x2)' equal to zero and attempt to solve:

Simplifying
-4 + -1x2 = 0

Solving
-4 + -1x2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x2 = 0 + 4
-1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1x2 = 4

Divide each side by '-1'.
x2 = -4

Simplifying
x2 = -4

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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