(X-3)(x^2+7x+12)=0

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Solution for (X-3)(x^2+7x+12)=0 equation: 


Simplifying
(X + -3)(x2 + 7x + 12) = 0

Reorder the terms:
(-3 + X)(x2 + 7x + 12) = 0

Reorder the terms:
(-3 + X)(12 + 7x + x2) = 0

Multiply (-3 + X) * (12 + 7x + x2)
(-3(12 + 7x + x2) + X(12 + 7x + x2)) = 0
((12 * -3 + 7x * -3 + x2 * -3) + X(12 + 7x + x2)) = 0
((-36 + -21x + -3x2) + X(12 + 7x + x2)) = 0
(-36 + -21x + -3x2 + (12 * X + 7x * X + x2 * X)) = 0
(-36 + -21x + -3x2 + (12X + 7xX + x2X)) = 0

Reorder the terms:
(-36 + 12X + -21x + 7xX + -3x2 + x2X) = 0
(-36 + 12X + -21x + 7xX + -3x2 + x2X) = 0

Solving
-36 + 12X + -21x + 7xX + -3x2 + x2X = 0

Solving for variable 'X'.

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

Add '36' to each side of the equation.
-36 + 12X + -21x + 7xX + -3x2 + 36 + x2X = 0 + 36

Reorder the terms:
-36 + 36 + 12X + -21x + 7xX + -3x2 + x2X = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 12X + -21x + 7xX + -3x2 + x2X = 0 + 36
12X + -21x + 7xX + -3x2 + x2X = 0 + 36

Combine like terms: 0 + 36 = 36
12X + -21x + 7xX + -3x2 + x2X = 36

Add '21x' to each side of the equation.
12X + -21x + 7xX + -3x2 + 21x + x2X = 36 + 21x

Reorder the terms:
12X + -21x + 21x + 7xX + -3x2 + x2X = 36 + 21x

Combine like terms: -21x + 21x = 0
12X + 0 + 7xX + -3x2 + x2X = 36 + 21x
12X + 7xX + -3x2 + x2X = 36 + 21x

Add '3x2' to each side of the equation.
12X + 7xX + -3x2 + 3x2 + x2X = 36 + 21x + 3x2

Combine like terms: -3x2 + 3x2 = 0
12X + 7xX + 0 + x2X = 36 + 21x + 3x2
12X + 7xX + x2X = 36 + 21x + 3x2

Reorder the terms:
-36 + 12X + -21x + 7xX + -3x2 + x2X = 36 + 21x + 3x2 + -36 + -21x + -3x2

Reorder the terms:
-36 + 12X + -21x + 7xX + -3x2 + x2X = 36 + -36 + 21x + -21x + 3x2 + -3x2

Combine like terms: 36 + -36 = 0
-36 + 12X + -21x + 7xX + -3x2 + x2X = 0 + 21x + -21x + 3x2 + -3x2
-36 + 12X + -21x + 7xX + -3x2 + x2X = 21x + -21x + 3x2 + -3x2

Combine like terms: 21x + -21x = 0
-36 + 12X + -21x + 7xX + -3x2 + x2X = 0 + 3x2 + -3x2
-36 + 12X + -21x + 7xX + -3x2 + x2X = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-36 + 12X + -21x + 7xX + -3x2 + x2X = 0

The solution to this equation could not be determined.

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