(x^2-5)(x^2-5x+10)+24=0

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Solution for (x^2-5)(x^2-5x+10)+24=0 equation:


Simplifying
(x2 + -5)(x2 + -5x + 10) + 24 = 0

Reorder the terms:
(-5 + x2)(x2 + -5x + 10) + 24 = 0

Reorder the terms:
(-5 + x2)(10 + -5x + x2) + 24 = 0

Multiply (-5 + x2) * (10 + -5x + x2)
(-5(10 + -5x + x2) + x2(10 + -5x + x2)) + 24 = 0
((10 * -5 + -5x * -5 + x2 * -5) + x2(10 + -5x + x2)) + 24 = 0
((-50 + 25x + -5x2) + x2(10 + -5x + x2)) + 24 = 0
(-50 + 25x + -5x2 + (10 * x2 + -5x * x2 + x2 * x2)) + 24 = 0
(-50 + 25x + -5x2 + (10x2 + -5x3 + x4)) + 24 = 0

Combine like terms: -5x2 + 10x2 = 5x2
(-50 + 25x + 5x2 + -5x3 + x4) + 24 = 0

Reorder the terms:
-50 + 24 + 25x + 5x2 + -5x3 + x4 = 0

Combine like terms: -50 + 24 = -26
-26 + 25x + 5x2 + -5x3 + x4 = 0

Solving
-26 + 25x + 5x2 + -5x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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