(X-3)(x^2+4x+19)=0

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Solution for (X-3)(x^2+4x+19)=0 equation: 


Simplifying
(X + -3)(x2 + 4x + 19) = 0

Reorder the terms:
(-3 + X)(x2 + 4x + 19) = 0

Reorder the terms:
(-3 + X)(19 + 4x + x2) = 0

Multiply (-3 + X) * (19 + 4x + x2)
(-3(19 + 4x + x2) + X(19 + 4x + x2)) = 0
((19 * -3 + 4x * -3 + x2 * -3) + X(19 + 4x + x2)) = 0
((-57 + -12x + -3x2) + X(19 + 4x + x2)) = 0
(-57 + -12x + -3x2 + (19 * X + 4x * X + x2 * X)) = 0
(-57 + -12x + -3x2 + (19X + 4xX + x2X)) = 0

Reorder the terms:
(-57 + 19X + -12x + 4xX + -3x2 + x2X) = 0
(-57 + 19X + -12x + 4xX + -3x2 + x2X) = 0

Solving
-57 + 19X + -12x + 4xX + -3x2 + x2X = 0

Solving for variable 'X'.

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

Add '57' to each side of the equation.
-57 + 19X + -12x + 4xX + -3x2 + 57 + x2X = 0 + 57

Reorder the terms:
-57 + 57 + 19X + -12x + 4xX + -3x2 + x2X = 0 + 57

Combine like terms: -57 + 57 = 0
0 + 19X + -12x + 4xX + -3x2 + x2X = 0 + 57
19X + -12x + 4xX + -3x2 + x2X = 0 + 57

Combine like terms: 0 + 57 = 57
19X + -12x + 4xX + -3x2 + x2X = 57

Add '12x' to each side of the equation.
19X + -12x + 4xX + -3x2 + 12x + x2X = 57 + 12x

Reorder the terms:
19X + -12x + 12x + 4xX + -3x2 + x2X = 57 + 12x

Combine like terms: -12x + 12x = 0
19X + 0 + 4xX + -3x2 + x2X = 57 + 12x
19X + 4xX + -3x2 + x2X = 57 + 12x

Add '3x2' to each side of the equation.
19X + 4xX + -3x2 + 3x2 + x2X = 57 + 12x + 3x2

Combine like terms: -3x2 + 3x2 = 0
19X + 4xX + 0 + x2X = 57 + 12x + 3x2
19X + 4xX + x2X = 57 + 12x + 3x2

Reorder the terms:
-57 + 19X + -12x + 4xX + -3x2 + x2X = 57 + 12x + 3x2 + -57 + -12x + -3x2

Reorder the terms:
-57 + 19X + -12x + 4xX + -3x2 + x2X = 57 + -57 + 12x + -12x + 3x2 + -3x2

Combine like terms: 57 + -57 = 0
-57 + 19X + -12x + 4xX + -3x2 + x2X = 0 + 12x + -12x + 3x2 + -3x2
-57 + 19X + -12x + 4xX + -3x2 + x2X = 12x + -12x + 3x2 + -3x2

Combine like terms: 12x + -12x = 0
-57 + 19X + -12x + 4xX + -3x2 + x2X = 0 + 3x2 + -3x2
-57 + 19X + -12x + 4xX + -3x2 + x2X = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-57 + 19X + -12x + 4xX + -3x2 + x2X = 0

The solution to this equation could not be determined.

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