[(x^2-5x+5)(x^2-9x+20)]=0

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Solution for [(x^2-5x+5)(x^2-9x+20)]=0 equation: 


Simplifying
[(x2 + -5x + 5)(x2 + -9x + 20)] = 0

Reorder the terms:
[(5 + -5x + x2)(x2 + -9x + 20)] = 0

Reorder the terms:
[(5 + -5x + x2)(20 + -9x + x2)] = 0

Multiply (5 + -5x + x2) * (20 + -9x + x2)
[(5(20 + -9x + x2) + -5x * (20 + -9x + x2) + x2(20 + -9x + x2))] = 0
[((20 * 5 + -9x * 5 + x2 * 5) + -5x * (20 + -9x + x2) + x2(20 + -9x + x2))] = 0
[((100 + -45x + 5x2) + -5x * (20 + -9x + x2) + x2(20 + -9x + x2))] = 0
[(100 + -45x + 5x2 + (20 * -5x + -9x * -5x + x2 * -5x) + x2(20 + -9x + x2))] = 0
[(100 + -45x + 5x2 + (-100x + 45x2 + -5x3) + x2(20 + -9x + x2))] = 0
[(100 + -45x + 5x2 + -100x + 45x2 + -5x3 + (20 * x2 + -9x * x2 + x2 * x2))] = 0
[(100 + -45x + 5x2 + -100x + 45x2 + -5x3 + (20x2 + -9x3 + x4))] = 0

Reorder the terms:
[(100 + -45x + -100x + 5x2 + 45x2 + 20x2 + -5x3 + -9x3 + x4)] = 0

Combine like terms: -45x + -100x = -145x
[(100 + -145x + 5x2 + 45x2 + 20x2 + -5x3 + -9x3 + x4)] = 0

Combine like terms: 5x2 + 45x2 = 50x2
[(100 + -145x + 50x2 + 20x2 + -5x3 + -9x3 + x4)] = 0

Combine like terms: 50x2 + 20x2 = 70x2
[(100 + -145x + 70x2 + -5x3 + -9x3 + x4)] = 0

Combine like terms: -5x3 + -9x3 = -14x3
[(100 + -145x + 70x2 + -14x3 + x4)] = 0
[100 + -145x + 70x2 + -14x3 + x4] = 0

Remove brackets around [100 + -145x + 70x2 + -14x3 + x4]
100 + -145x + 70x2 + -14x3 + x4 = 0

Solving
100 + -145x + 70x2 + -14x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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