(X-4)(x^2+3x+1)=

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Solution for (X-4)(x^2+3x+1)= equation: 


Simplifying
(X + -4)(x2 + 3x + 1) = 0

Reorder the terms:
(-4 + X)(x2 + 3x + 1) = 0

Reorder the terms:
(-4 + X)(1 + 3x + x2) = 0

Multiply (-4 + X) * (1 + 3x + x2)
(-4(1 + 3x + x2) + X(1 + 3x + x2)) = 0
((1 * -4 + 3x * -4 + x2 * -4) + X(1 + 3x + x2)) = 0
((-4 + -12x + -4x2) + X(1 + 3x + x2)) = 0
(-4 + -12x + -4x2 + (1 * X + 3x * X + x2 * X)) = 0
(-4 + -12x + -4x2 + (1X + 3xX + x2X)) = 0

Reorder the terms:
(-4 + 1X + -12x + 3xX + -4x2 + x2X) = 0
(-4 + 1X + -12x + 3xX + -4x2 + x2X) = 0

Solving
-4 + 1X + -12x + 3xX + -4x2 + x2X = 0

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + 1X + -12x + 3xX + -4x2 + 4 + x2X = 0 + 4

Reorder the terms:
-4 + 4 + 1X + -12x + 3xX + -4x2 + x2X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1X + -12x + 3xX + -4x2 + x2X = 0 + 4
1X + -12x + 3xX + -4x2 + x2X = 0 + 4

Combine like terms: 0 + 4 = 4
1X + -12x + 3xX + -4x2 + x2X = 4

Add '12x' to each side of the equation.
1X + -12x + 3xX + -4x2 + 12x + x2X = 4 + 12x

Reorder the terms:
1X + -12x + 12x + 3xX + -4x2 + x2X = 4 + 12x

Combine like terms: -12x + 12x = 0
1X + 0 + 3xX + -4x2 + x2X = 4 + 12x
1X + 3xX + -4x2 + x2X = 4 + 12x

Add '4x2' to each side of the equation.
1X + 3xX + -4x2 + 4x2 + x2X = 4 + 12x + 4x2

Combine like terms: -4x2 + 4x2 = 0
1X + 3xX + 0 + x2X = 4 + 12x + 4x2
1X + 3xX + x2X = 4 + 12x + 4x2

Reorder the terms:
-4 + 1X + -12x + 3xX + -4x2 + x2X = 4 + 12x + 4x2 + -4 + -12x + -4x2

Reorder the terms:
-4 + 1X + -12x + 3xX + -4x2 + x2X = 4 + -4 + 12x + -12x + 4x2 + -4x2

Combine like terms: 4 + -4 = 0
-4 + 1X + -12x + 3xX + -4x2 + x2X = 0 + 12x + -12x + 4x2 + -4x2
-4 + 1X + -12x + 3xX + -4x2 + x2X = 12x + -12x + 4x2 + -4x2

Combine like terms: 12x + -12x = 0
-4 + 1X + -12x + 3xX + -4x2 + x2X = 0 + 4x2 + -4x2
-4 + 1X + -12x + 3xX + -4x2 + x2X = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4 + 1X + -12x + 3xX + -4x2 + x2X = 0

The solution to this equation could not be determined.

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