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

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


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

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

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

Multiply (-4 + x) * (6 + 5x + x2)
(-4(6 + 5x + x2) + x(6 + 5x + x2)) = 0
((6 * -4 + 5x * -4 + x2 * -4) + x(6 + 5x + x2)) = 0
((-24 + -20x + -4x2) + x(6 + 5x + x2)) = 0
(-24 + -20x + -4x2 + (6 * x + 5x * x + x2 * x)) = 0
(-24 + -20x + -4x2 + (6x + 5x2 + x3)) = 0

Reorder the terms:
(-24 + -20x + 6x + -4x2 + 5x2 + x3) = 0

Combine like terms: -20x + 6x = -14x
(-24 + -14x + -4x2 + 5x2 + x3) = 0

Combine like terms: -4x2 + 5x2 = 1x2
(-24 + -14x + 1x2 + x3) = 0

Solving
-24 + -14x + 1x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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