(x^2-5x+4)(x^2-5x+6)=15

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Solution for (x^2-5x+4)(x^2-5x+6)=15 equation: 


Simplifying
(x2 + -5x + 4)(x2 + -5x + 6) = 15

Reorder the terms:
(4 + -5x + x2)(x2 + -5x + 6) = 15

Reorder the terms:
(4 + -5x + x2)(6 + -5x + x2) = 15

Multiply (4 + -5x + x2) * (6 + -5x + x2)
(4(6 + -5x + x2) + -5x * (6 + -5x + x2) + x2(6 + -5x + x2)) = 15
((6 * 4 + -5x * 4 + x2 * 4) + -5x * (6 + -5x + x2) + x2(6 + -5x + x2)) = 15
((24 + -20x + 4x2) + -5x * (6 + -5x + x2) + x2(6 + -5x + x2)) = 15
(24 + -20x + 4x2 + (6 * -5x + -5x * -5x + x2 * -5x) + x2(6 + -5x + x2)) = 15
(24 + -20x + 4x2 + (-30x + 25x2 + -5x3) + x2(6 + -5x + x2)) = 15
(24 + -20x + 4x2 + -30x + 25x2 + -5x3 + (6 * x2 + -5x * x2 + x2 * x2)) = 15
(24 + -20x + 4x2 + -30x + 25x2 + -5x3 + (6x2 + -5x3 + x4)) = 15

Reorder the terms:
(24 + -20x + -30x + 4x2 + 25x2 + 6x2 + -5x3 + -5x3 + x4) = 15

Combine like terms: -20x + -30x = -50x
(24 + -50x + 4x2 + 25x2 + 6x2 + -5x3 + -5x3 + x4) = 15

Combine like terms: 4x2 + 25x2 = 29x2
(24 + -50x + 29x2 + 6x2 + -5x3 + -5x3 + x4) = 15

Combine like terms: 29x2 + 6x2 = 35x2
(24 + -50x + 35x2 + -5x3 + -5x3 + x4) = 15

Combine like terms: -5x3 + -5x3 = -10x3
(24 + -50x + 35x2 + -10x3 + x4) = 15

Solving
24 + -50x + 35x2 + -10x3 + x4 = 15

Solving for variable 'x'.

Reorder the terms:
24 + -15 + -50x + 35x2 + -10x3 + x4 = 15 + -15

Combine like terms: 24 + -15 = 9
9 + -50x + 35x2 + -10x3 + x4 = 15 + -15

Combine like terms: 15 + -15 = 0
9 + -50x + 35x2 + -10x3 + x4 = 0

The solution to this equation could not be determined.

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