x^2(x^2-6)+10=0

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Solution for x^2(x^2-6)+10=0 equation: 


Simplifying
x2(x2 + -6) + 10 = 0

Reorder the terms:
x2(-6 + x2) + 10 = 0
(-6 * x2 + x2 * x2) + 10 = 0
(-6x2 + x4) + 10 = 0

Reorder the terms:
10 + -6x2 + x4 = 0

Solving
10 + -6x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -6x2 + -10 + x4 = 0 + -10

Reorder the terms:
10 + -10 + -6x2 + x4 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6x2 + x4 = 0 + -10
-6x2 + x4 = 0 + -10

Combine like terms: 0 + -10 = -10
-6x2 + x4 = -10

The x term is -6x2.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x2 + 9 + x4 = -10 + 9

Reorder the terms:
9 + -6x2 + x4 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + -6x2 + x4 = -1

Factor a perfect square on the left side:
(x2 + -3)(x2 + -3) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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