(x-5)(x^2-6x+7)=0

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Solution for (x-5)(x^2-6x+7)=0 equation:


Simplifying
(x + -5)(x2 + -6x + 7) = 0

Reorder the terms:
(-5 + x)(x2 + -6x + 7) = 0

Reorder the terms:
(-5 + x)(7 + -6x + x2) = 0

Multiply (-5 + x) * (7 + -6x + x2)
(-5(7 + -6x + x2) + x(7 + -6x + x2)) = 0
((7 * -5 + -6x * -5 + x2 * -5) + x(7 + -6x + x2)) = 0
((-35 + 30x + -5x2) + x(7 + -6x + x2)) = 0
(-35 + 30x + -5x2 + (7 * x + -6x * x + x2 * x)) = 0
(-35 + 30x + -5x2 + (7x + -6x2 + x3)) = 0

Reorder the terms:
(-35 + 30x + 7x + -5x2 + -6x2 + x3) = 0

Combine like terms: 30x + 7x = 37x
(-35 + 37x + -5x2 + -6x2 + x3) = 0

Combine like terms: -5x2 + -6x2 = -11x2
(-35 + 37x + -11x2 + x3) = 0

Solving
-35 + 37x + -11x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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