(x^2-x-6)(x^2-5x+6)=0

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Solution for (x^2-x-6)(x^2-5x+6)=0 equation:


Simplifying
(x2 + -1x + -6)(x2 + -5x + 6) = 0

Reorder the terms:
(-6 + -1x + x2)(x2 + -5x + 6) = 0

Reorder the terms:
(-6 + -1x + x2)(6 + -5x + x2) = 0

Multiply (-6 + -1x + x2) * (6 + -5x + x2)
(-6(6 + -5x + x2) + -1x * (6 + -5x + x2) + x2(6 + -5x + x2)) = 0
((6 * -6 + -5x * -6 + x2 * -6) + -1x * (6 + -5x + x2) + x2(6 + -5x + x2)) = 0
((-36 + 30x + -6x2) + -1x * (6 + -5x + x2) + x2(6 + -5x + x2)) = 0
(-36 + 30x + -6x2 + (6 * -1x + -5x * -1x + x2 * -1x) + x2(6 + -5x + x2)) = 0
(-36 + 30x + -6x2 + (-6x + 5x2 + -1x3) + x2(6 + -5x + x2)) = 0
(-36 + 30x + -6x2 + -6x + 5x2 + -1x3 + (6 * x2 + -5x * x2 + x2 * x2)) = 0
(-36 + 30x + -6x2 + -6x + 5x2 + -1x3 + (6x2 + -5x3 + x4)) = 0

Reorder the terms:
(-36 + 30x + -6x + -6x2 + 5x2 + 6x2 + -1x3 + -5x3 + x4) = 0

Combine like terms: 30x + -6x = 24x
(-36 + 24x + -6x2 + 5x2 + 6x2 + -1x3 + -5x3 + x4) = 0

Combine like terms: -6x2 + 5x2 = -1x2
(-36 + 24x + -1x2 + 6x2 + -1x3 + -5x3 + x4) = 0

Combine like terms: -1x2 + 6x2 = 5x2
(-36 + 24x + 5x2 + -1x3 + -5x3 + x4) = 0

Combine like terms: -1x3 + -5x3 = -6x3
(-36 + 24x + 5x2 + -6x3 + x4) = 0

Solving
-36 + 24x + 5x2 + -6x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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