(X-3)(x^2+x+1)=0

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Solution for (X-3)(x^2+x+1)=0 equation: 


Simplifying
(X + -3)(x2 + x + 1) = 0

Reorder the terms:
(-3 + X)(x2 + x + 1) = 0

Reorder the terms:
(-3 + X)(1 + x + x2) = 0

Multiply (-3 + X) * (1 + x + x2)
(-3(1 + x + x2) + X(1 + x + x2)) = 0
((1 * -3 + x * -3 + x2 * -3) + X(1 + x + x2)) = 0
((-3 + -3x + -3x2) + X(1 + x + x2)) = 0
(-3 + -3x + -3x2 + (1 * X + x * X + x2 * X)) = 0
(-3 + -3x + -3x2 + (1X + xX + x2X)) = 0

Reorder the terms:
(-3 + 1X + -3x + xX + -3x2 + x2X) = 0
(-3 + 1X + -3x + xX + -3x2 + x2X) = 0

Solving
-3 + 1X + -3x + xX + -3x2 + x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 1X + -3x + xX + -3x2 + 3 + x2X = 0 + 3

Reorder the terms:
-3 + 3 + 1X + -3x + xX + -3x2 + x2X = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 1X + -3x + xX + -3x2 + x2X = 0 + 3
1X + -3x + xX + -3x2 + x2X = 0 + 3

Combine like terms: 0 + 3 = 3
1X + -3x + xX + -3x2 + x2X = 3

Add '3x' to each side of the equation.
1X + -3x + xX + -3x2 + 3x + x2X = 3 + 3x

Reorder the terms:
1X + -3x + 3x + xX + -3x2 + x2X = 3 + 3x

Combine like terms: -3x + 3x = 0
1X + 0 + xX + -3x2 + x2X = 3 + 3x
1X + xX + -3x2 + x2X = 3 + 3x

Add '3x2' to each side of the equation.
1X + xX + -3x2 + 3x2 + x2X = 3 + 3x + 3x2

Combine like terms: -3x2 + 3x2 = 0
1X + xX + 0 + x2X = 3 + 3x + 3x2
1X + xX + x2X = 3 + 3x + 3x2

Reorder the terms:
-3 + 1X + -3x + xX + -3x2 + x2X = 3 + 3x + 3x2 + -3 + -3x + -3x2

Reorder the terms:
-3 + 1X + -3x + xX + -3x2 + x2X = 3 + -3 + 3x + -3x + 3x2 + -3x2

Combine like terms: 3 + -3 = 0
-3 + 1X + -3x + xX + -3x2 + x2X = 0 + 3x + -3x + 3x2 + -3x2
-3 + 1X + -3x + xX + -3x2 + x2X = 3x + -3x + 3x2 + -3x2

Combine like terms: 3x + -3x = 0
-3 + 1X + -3x + xX + -3x2 + x2X = 0 + 3x2 + -3x2
-3 + 1X + -3x + xX + -3x2 + x2X = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3 + 1X + -3x + xX + -3x2 + x2X = 0

The solution to this equation could not be determined.

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