x^2(x^2+15)=250

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Solution for x^2(x^2+15)=250 equation: 


Simplifying
x2(x2 + 15) = 250

Reorder the terms:
x2(15 + x2) = 250
(15 * x2 + x2 * x2) = 250
(15x2 + x4) = 250

Solving
15x2 + x4 = 250

Solving for variable 'x'.

Reorder the terms:
-250 + 15x2 + x4 = 250 + -250

Combine like terms: 250 + -250 = 0
-250 + 15x2 + x4 = 0

Factor a trinomial.
(-25 + -1x2)(10 + -1x2) = 0


Subproblem 1
Set the factor '(-25 + -1x2)' equal to zero and attempt to solve:

Simplifying
-25 + -1x2 = 0

Solving
-25 + -1x2 = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1x2 = 0 + 25
-1x2 = 0 + 25

Combine like terms: 0 + 25 = 25
-1x2 = 25

Divide each side by '-1'.
x2 = -25

Simplifying
x2 = -25

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 '(10 + -1x2)' equal to zero and attempt to solve:

Simplifying
10 + -1x2 = 0

Solving
10 + -1x2 = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x2 = 0 + -10
-1x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1x2 = -10

Divide each side by '-1'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}
Solution
x = {-3.16227766, 3.16227766}

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