(x^2+5)*(x^2-5)=-10

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Solution for (x^2+5)*(x^2-5)=-10 equation:


Simplifying
(x2 + 5)(x2 + -5) = -10

Reorder the terms:
(5 + x2)(x2 + -5) = -10

Reorder the terms:
(5 + x2)(-5 + x2) = -10

Multiply (5 + x2) * (-5 + x2)
(5(-5 + x2) + x2(-5 + x2)) = -10
((-5 * 5 + x2 * 5) + x2(-5 + x2)) = -10
((-25 + 5x2) + x2(-5 + x2)) = -10
(-25 + 5x2 + (-5 * x2 + x2 * x2)) = -10
(-25 + 5x2 + (-5x2 + x4)) = -10

Combine like terms: 5x2 + -5x2 = 0
(-25 + 0 + x4) = -10
(-25 + x4) = -10

Solving
-25 + x4 = -10

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + x4 = -10 + 25

Combine like terms: -25 + 25 = 0
0 + x4 = -10 + 25
x4 = -10 + 25

Combine like terms: -10 + 25 = 15
x4 = 15

Simplifying
x4 = 15

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

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

The solution to this equation could not be determined.

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