(X-10)(x^2+10x+100)=0

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Solution for (X-10)(x^2+10x+100)=0 equation: 


Simplifying
(X + -10)(x2 + 10x + 100) = 0

Reorder the terms:
(-10 + X)(x2 + 10x + 100) = 0

Reorder the terms:
(-10 + X)(100 + 10x + x2) = 0

Multiply (-10 + X) * (100 + 10x + x2)
(-10(100 + 10x + x2) + X(100 + 10x + x2)) = 0
((100 * -10 + 10x * -10 + x2 * -10) + X(100 + 10x + x2)) = 0
((-1000 + -100x + -10x2) + X(100 + 10x + x2)) = 0
(-1000 + -100x + -10x2 + (100 * X + 10x * X + x2 * X)) = 0
(-1000 + -100x + -10x2 + (100X + 10xX + x2X)) = 0

Reorder the terms:
(-1000 + 100X + -100x + 10xX + -10x2 + x2X) = 0
(-1000 + 100X + -100x + 10xX + -10x2 + x2X) = 0

Solving
-1000 + 100X + -100x + 10xX + -10x2 + x2X = 0

Solving for variable 'X'.

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

Add '1000' to each side of the equation.
-1000 + 100X + -100x + 10xX + -10x2 + 1000 + x2X = 0 + 1000

Reorder the terms:
-1000 + 1000 + 100X + -100x + 10xX + -10x2 + x2X = 0 + 1000

Combine like terms: -1000 + 1000 = 0
0 + 100X + -100x + 10xX + -10x2 + x2X = 0 + 1000
100X + -100x + 10xX + -10x2 + x2X = 0 + 1000

Combine like terms: 0 + 1000 = 1000
100X + -100x + 10xX + -10x2 + x2X = 1000

Add '100x' to each side of the equation.
100X + -100x + 10xX + -10x2 + 100x + x2X = 1000 + 100x

Reorder the terms:
100X + -100x + 100x + 10xX + -10x2 + x2X = 1000 + 100x

Combine like terms: -100x + 100x = 0
100X + 0 + 10xX + -10x2 + x2X = 1000 + 100x
100X + 10xX + -10x2 + x2X = 1000 + 100x

Add '10x2' to each side of the equation.
100X + 10xX + -10x2 + 10x2 + x2X = 1000 + 100x + 10x2

Combine like terms: -10x2 + 10x2 = 0
100X + 10xX + 0 + x2X = 1000 + 100x + 10x2
100X + 10xX + x2X = 1000 + 100x + 10x2

Reorder the terms:
-1000 + 100X + -100x + 10xX + -10x2 + x2X = 1000 + 100x + 10x2 + -1000 + -100x + -10x2

Reorder the terms:
-1000 + 100X + -100x + 10xX + -10x2 + x2X = 1000 + -1000 + 100x + -100x + 10x2 + -10x2

Combine like terms: 1000 + -1000 = 0
-1000 + 100X + -100x + 10xX + -10x2 + x2X = 0 + 100x + -100x + 10x2 + -10x2
-1000 + 100X + -100x + 10xX + -10x2 + x2X = 100x + -100x + 10x2 + -10x2

Combine like terms: 100x + -100x = 0
-1000 + 100X + -100x + 10xX + -10x2 + x2X = 0 + 10x2 + -10x2
-1000 + 100X + -100x + 10xX + -10x2 + x2X = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-1000 + 100X + -100x + 10xX + -10x2 + x2X = 0

The solution to this equation could not be determined.

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