(X-1)(x^2+9x+20)=0

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Solution for (X-1)(x^2+9x+20)=0 equation:


Simplifying
(X + -1)(x2 + 9x + 20) = 0

Reorder the terms:
(-1 + X)(x2 + 9x + 20) = 0

Reorder the terms:
(-1 + X)(20 + 9x + x2) = 0

Multiply (-1 + X) * (20 + 9x + x2)
(-1(20 + 9x + x2) + X(20 + 9x + x2)) = 0
((20 * -1 + 9x * -1 + x2 * -1) + X(20 + 9x + x2)) = 0
((-20 + -9x + -1x2) + X(20 + 9x + x2)) = 0
(-20 + -9x + -1x2 + (20 * X + 9x * X + x2 * X)) = 0
(-20 + -9x + -1x2 + (20X + 9xX + x2X)) = 0

Reorder the terms:
(-20 + 20X + -9x + 9xX + -1x2 + x2X) = 0
(-20 + 20X + -9x + 9xX + -1x2 + x2X) = 0

Solving
-20 + 20X + -9x + 9xX + -1x2 + x2X = 0

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + 20X + -9x + 9xX + -1x2 + 20 + x2X = 0 + 20

Reorder the terms:
-20 + 20 + 20X + -9x + 9xX + -1x2 + x2X = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 20X + -9x + 9xX + -1x2 + x2X = 0 + 20
20X + -9x + 9xX + -1x2 + x2X = 0 + 20

Combine like terms: 0 + 20 = 20
20X + -9x + 9xX + -1x2 + x2X = 20

Add '9x' to each side of the equation.
20X + -9x + 9xX + -1x2 + 9x + x2X = 20 + 9x

Reorder the terms:
20X + -9x + 9x + 9xX + -1x2 + x2X = 20 + 9x

Combine like terms: -9x + 9x = 0
20X + 0 + 9xX + -1x2 + x2X = 20 + 9x
20X + 9xX + -1x2 + x2X = 20 + 9x

Add 'x2' to each side of the equation.
20X + 9xX + -1x2 + x2 + x2X = 20 + 9x + x2

Combine like terms: -1x2 + x2 = 0
20X + 9xX + 0 + x2X = 20 + 9x + x2
20X + 9xX + x2X = 20 + 9x + x2

Reorder the terms:
-20 + 20X + -9x + 9xX + -1x2 + x2X = 20 + 9x + x2 + -20 + -9x + -1x2

Reorder the terms:
-20 + 20X + -9x + 9xX + -1x2 + x2X = 20 + -20 + 9x + -9x + x2 + -1x2

Combine like terms: 20 + -20 = 0
-20 + 20X + -9x + 9xX + -1x2 + x2X = 0 + 9x + -9x + x2 + -1x2
-20 + 20X + -9x + 9xX + -1x2 + x2X = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
-20 + 20X + -9x + 9xX + -1x2 + x2X = 0 + x2 + -1x2
-20 + 20X + -9x + 9xX + -1x2 + x2X = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + 20X + -9x + 9xX + -1x2 + x2X = 0

The solution to this equation could not be determined.

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