x^2(x^2-1)=100

Solution for x^2(x^2-1)=100 equation:

Simplifying
x2(x2 + -1) = 100

Reorder the terms:
x2(-1 + x2) = 100
(-1 * x2 + x2 * x2) = 100
(-1x2 + x4) = 100

Solving
-1x2 + x4 = 100

Solving for variable 'x'.

Reorder the terms:
-100 + -1x2 + x4 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + -1x2 + x4 = 0

Begin completing the square.

Move the constant term to the right:

Add '100' to each side of the equation.
-100 + -1x2 + 100 + x4 = 0 + 100

Reorder the terms:
-100 + 100 + -1x2 + x4 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + -1x2 + x4 = 0 + 100
-1x2 + x4 = 0 + 100

Combine like terms: 0 + 100 = 100
-1x2 + x4 = 100

The x term is -1x2.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x2 + 0.25 + x4 = 100 + 0.25

Reorder the terms:
0.25 + -1x2 + x4 = 100 + 0.25

Combine like terms: 100 + 0.25 = 100.25
0.25 + -1x2 + x4 = 100.25

Factor a perfect square on the left side:
(x2 + -0.5)(x2 + -0.5) = 100.25

Calculate the square root of the right side: 10.012492197

Break this problem into two subproblems by setting 
(x2 + -0.5) equal to 10.012492197 and -10.012492197.

Subproblem 1
x2 + -0.5 = 10.012492197

Simplifying
x2 + -0.5 = 10.012492197

Reorder the terms:
-0.5 + x2 = 10.012492197

Solving
-0.5 + x2 = 10.012492197

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x2 = 10.012492197 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x2 = 10.012492197 + 0.5
x2 = 10.012492197 + 0.5

Combine like terms: 10.012492197 + 0.5 = 10.512492197
x2 = 10.512492197

Simplifying
x2 = 10.512492197

Take the square root of each side:
x = {-3.242297364, 3.242297364}

Subproblem 2
x2 + -0.5 = -10.012492197

Simplifying
x2 + -0.5 = -10.012492197

Reorder the terms:
-0.5 + x2 = -10.012492197

Solving
-0.5 + x2 = -10.012492197

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x2 = -10.012492197 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x2 = -10.012492197 + 0.5
x2 = -10.012492197 + 0.5

Combine like terms: -10.012492197 + 0.5 = -9.512492197
x2 = -9.512492197

Simplifying
x2 = -9.512492197

Reorder the terms:
9.512492197 + x2 = -9.512492197 + 9.512492197

Combine like terms: -9.512492197 + 9.512492197 = 0.000000000
9.512492197 + x2 = 0.000000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.