(X-10)(X-10)+(X+10)(X+10)=

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Solution for (X-10)(X-10)+(X+10)(X+10)= equation: 


Simplifying
(X + -10)(X + -10) + (X + 10)(X + 10) = 0

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

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

Multiply (-10 + X) * (-10 + X)
(-10(-10 + X) + X(-10 + X)) + (X + 10)(X + 10) = 0
((-10 * -10 + X * -10) + X(-10 + X)) + (X + 10)(X + 10) = 0
((100 + -10X) + X(-10 + X)) + (X + 10)(X + 10) = 0
(100 + -10X + (-10 * X + X * X)) + (X + 10)(X + 10) = 0
(100 + -10X + (-10X + X2)) + (X + 10)(X + 10) = 0

Combine like terms: -10X + -10X = -20X
(100 + -20X + X2) + (X + 10)(X + 10) = 0

Reorder the terms:
100 + -20X + X2 + (10 + X)(X + 10) = 0

Reorder the terms:
100 + -20X + X2 + (10 + X)(10 + X) = 0

Multiply (10 + X) * (10 + X)
100 + -20X + X2 + (10(10 + X) + X(10 + X)) = 0
100 + -20X + X2 + ((10 * 10 + X * 10) + X(10 + X)) = 0
100 + -20X + X2 + ((100 + 10X) + X(10 + X)) = 0
100 + -20X + X2 + (100 + 10X + (10 * X + X * X)) = 0
100 + -20X + X2 + (100 + 10X + (10X + X2)) = 0

Combine like terms: 10X + 10X = 20X
100 + -20X + X2 + (100 + 20X + X2) = 0

Reorder the terms:
100 + 100 + -20X + 20X + X2 + X2 = 0

Combine like terms: 100 + 100 = 200
200 + -20X + 20X + X2 + X2 = 0

Combine like terms: -20X + 20X = 0
200 + 0 + X2 + X2 = 0
200 + X2 + X2 = 0

Combine like terms: X2 + X2 = 2X2
200 + 2X2 = 0

Solving
200 + 2X2 = 0

Solving for variable 'X'.

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

Add '-200' to each side of the equation.
200 + -200 + 2X2 = 0 + -200

Combine like terms: 200 + -200 = 0
0 + 2X2 = 0 + -200
2X2 = 0 + -200

Combine like terms: 0 + -200 = -200
2X2 = -200

Divide each side by '2'.
X2 = -100

Simplifying
X2 = -100

Reorder the terms:
100 + X2 = -100 + 100

Combine like terms: -100 + 100 = 0
100 + X2 = 0

The solution to this equation could not be determined.

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