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

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


Simplifying
X2(x + -10)(x + -10) = 0

Reorder the terms:
X2(-10 + x)(x + -10) = 0

Reorder the terms:
X2(-10 + x)(-10 + x) = 0

Multiply (-10 + x) * (-10 + x)
X2(-10(-10 + x) + x(-10 + x)) = 0
X2((-10 * -10 + x * -10) + x(-10 + x)) = 0
X2((100 + -10x) + x(-10 + x)) = 0
X2(100 + -10x + (-10 * x + x * x)) = 0
X2(100 + -10x + (-10x + x2)) = 0

Combine like terms: -10x + -10x = -20x
X2(100 + -20x + x2) = 0
(100 * X2 + -20x * X2 + x2 * X2) = 0
(100X2 + -20xX2 + x2X2) = 0

Solving
100X2 + -20xX2 + x2X2 = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(100 + -20x + x2) = 0

Factor a trinomial.
X2((10 + -1x)(10 + -1x)) = 0


Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
X = {0}

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Add 'x' to each side of the equation.
-1x + x = -10 + x

Combine like terms: -1x + x = 0
0 = -10 + x

Simplifying
0 = -10 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Add 'x' to each side of the equation.
-1x + x = -10 + x

Combine like terms: -1x + x = 0
0 = -10 + x

Simplifying
0 = -10 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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