(X-3)(x^2-17x+72)=0

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Solution for (X-3)(x^2-17x+72)=0 equation:


Simplifying
(X + -3)(x2 + -17x + 72) = 0

Reorder the terms:
(-3 + X)(x2 + -17x + 72) = 0

Reorder the terms:
(-3 + X)(72 + -17x + x2) = 0

Multiply (-3 + X) * (72 + -17x + x2)
(-3(72 + -17x + x2) + X(72 + -17x + x2)) = 0
((72 * -3 + -17x * -3 + x2 * -3) + X(72 + -17x + x2)) = 0
((-216 + 51x + -3x2) + X(72 + -17x + x2)) = 0
(-216 + 51x + -3x2 + (72 * X + -17x * X + x2 * X)) = 0
(-216 + 51x + -3x2 + (72X + -17xX + x2X)) = 0

Reorder the terms:
(-216 + 72X + 51x + -17xX + -3x2 + x2X) = 0
(-216 + 72X + 51x + -17xX + -3x2 + x2X) = 0

Solving
-216 + 72X + 51x + -17xX + -3x2 + x2X = 0

Solving for variable 'X'.

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

Add '216' to each side of the equation.
-216 + 72X + 51x + -17xX + -3x2 + 216 + x2X = 0 + 216

Reorder the terms:
-216 + 216 + 72X + 51x + -17xX + -3x2 + x2X = 0 + 216

Combine like terms: -216 + 216 = 0
0 + 72X + 51x + -17xX + -3x2 + x2X = 0 + 216
72X + 51x + -17xX + -3x2 + x2X = 0 + 216

Combine like terms: 0 + 216 = 216
72X + 51x + -17xX + -3x2 + x2X = 216

Add '-51x' to each side of the equation.
72X + 51x + -17xX + -3x2 + -51x + x2X = 216 + -51x

Reorder the terms:
72X + 51x + -51x + -17xX + -3x2 + x2X = 216 + -51x

Combine like terms: 51x + -51x = 0
72X + 0 + -17xX + -3x2 + x2X = 216 + -51x
72X + -17xX + -3x2 + x2X = 216 + -51x

Add '3x2' to each side of the equation.
72X + -17xX + -3x2 + 3x2 + x2X = 216 + -51x + 3x2

Combine like terms: -3x2 + 3x2 = 0
72X + -17xX + 0 + x2X = 216 + -51x + 3x2
72X + -17xX + x2X = 216 + -51x + 3x2

Reorder the terms:
-216 + 72X + 51x + -17xX + -3x2 + x2X = 216 + -51x + 3x2 + -216 + 51x + -3x2

Reorder the terms:
-216 + 72X + 51x + -17xX + -3x2 + x2X = 216 + -216 + -51x + 51x + 3x2 + -3x2

Combine like terms: 216 + -216 = 0
-216 + 72X + 51x + -17xX + -3x2 + x2X = 0 + -51x + 51x + 3x2 + -3x2
-216 + 72X + 51x + -17xX + -3x2 + x2X = -51x + 51x + 3x2 + -3x2

Combine like terms: -51x + 51x = 0
-216 + 72X + 51x + -17xX + -3x2 + x2X = 0 + 3x2 + -3x2
-216 + 72X + 51x + -17xX + -3x2 + x2X = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-216 + 72X + 51x + -17xX + -3x2 + x2X = 0

The solution to this equation could not be determined.

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