-5x[x(3x-26)-9](36x^2-60x+25)=0

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Solution for -5x[x(3x-26)-9](36x^2-60x+25)=0 equation: 


Simplifying
-5x[x(3x + -26) + -9](36x2 + -60x + 25) = 0

Reorder the terms:
-5x[x(-26 + 3x) + -9](36x2 + -60x + 25) = 0
-5x[(-26 * x + 3x * x) + -9](36x2 + -60x + 25) = 0
-5x[(-26x + 3x2) + -9](36x2 + -60x + 25) = 0

Reorder the terms:
-5x[-9 + -26x + 3x2](36x2 + -60x + 25) = 0

Reorder the terms:
-5x[-9 + -26x + 3x2](25 + -60x + 36x2) = 0

Multiply [-9 + -26x + 3x2] * (25 + -60x + 36x2)
-5x[-9(25 + -60x + 36x2) + -26x * (25 + -60x + 36x2) + 3x2 * (25 + -60x + 36x2)] = 0
-5x[(25 * -9 + -60x * -9 + 36x2 * -9) + -26x * (25 + -60x + 36x2) + 3x2 * (25 + -60x + 36x2)] = 0
-5x[(-225 + 540x + -324x2) + -26x * (25 + -60x + 36x2) + 3x2 * (25 + -60x + 36x2)] = 0
-5x[-225 + 540x + -324x2 + (25 * -26x + -60x * -26x + 36x2 * -26x) + 3x2 * (25 + -60x + 36x2)] = 0
-5x[-225 + 540x + -324x2 + (-650x + 1560x2 + -936x3) + 3x2 * (25 + -60x + 36x2)] = 0
-5x[-225 + 540x + -324x2 + -650x + 1560x2 + -936x3 + (25 * 3x2 + -60x * 3x2 + 36x2 * 3x2)] = 0
-5x[-225 + 540x + -324x2 + -650x + 1560x2 + -936x3 + (75x2 + -180x3 + 108x4)] = 0

Reorder the terms:
-5x[-225 + 540x + -650x + -324x2 + 1560x2 + 75x2 + -936x3 + -180x3 + 108x4] = 0

Combine like terms: 540x + -650x = -110x
-5x[-225 + -110x + -324x2 + 1560x2 + 75x2 + -936x3 + -180x3 + 108x4] = 0

Combine like terms: -324x2 + 1560x2 = 1236x2
-5x[-225 + -110x + 1236x2 + 75x2 + -936x3 + -180x3 + 108x4] = 0

Combine like terms: 1236x2 + 75x2 = 1311x2
-5x[-225 + -110x + 1311x2 + -936x3 + -180x3 + 108x4] = 0

Combine like terms: -936x3 + -180x3 = -1116x3
-5x[-225 + -110x + 1311x2 + -1116x3 + 108x4] = 0
[-225 * -5x + -110x * -5x + 1311x2 * -5x + -1116x3 * -5x + 108x4 * -5x] = 0
[1125x + 550x2 + -6555x3 + 5580x4 + -540x5] = 0

Solving
1125x + 550x2 + -6555x3 + 5580x4 + -540x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(225 + 110x + -1311x2 + 1116x3 + -108x4) = 0

Ignore the factor 5.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(225 + 110x + -1311x2 + 1116x3 + -108x4)' equal to zero and attempt to solve:

Simplifying
225 + 110x + -1311x2 + 1116x3 + -108x4 = 0

Solving
225 + 110x + -1311x2 + 1116x3 + -108x4 = 0

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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