(x-5)(x^2-4x+6)=0

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Solution for (x-5)(x^2-4x+6)=0 equation:


Simplifying
(x + -5)(x2 + -4x + 6) = 0

Reorder the terms:
(-5 + x)(x2 + -4x + 6) = 0

Reorder the terms:
(-5 + x)(6 + -4x + x2) = 0

Multiply (-5 + x) * (6 + -4x + x2)
(-5(6 + -4x + x2) + x(6 + -4x + x2)) = 0
((6 * -5 + -4x * -5 + x2 * -5) + x(6 + -4x + x2)) = 0
((-30 + 20x + -5x2) + x(6 + -4x + x2)) = 0
(-30 + 20x + -5x2 + (6 * x + -4x * x + x2 * x)) = 0
(-30 + 20x + -5x2 + (6x + -4x2 + x3)) = 0

Reorder the terms:
(-30 + 20x + 6x + -5x2 + -4x2 + x3) = 0

Combine like terms: 20x + 6x = 26x
(-30 + 26x + -5x2 + -4x2 + x3) = 0

Combine like terms: -5x2 + -4x2 = -9x2
(-30 + 26x + -9x2 + x3) = 0

Solving
-30 + 26x + -9x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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