0=x^2+(-x^2(17-x))(x^2+81)

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Solution for 0=x^2+(-x^2(17-x))(x^2+81) equation: 


Simplifying
0 = x2 + (-1x2(17 + -1x))(x2 + 81)
0 = x2 + ((17 * -1x2 + -1x * -1x2))(x2 + 81)
0 = x2 + ((-17x2 + 1x3))(x2 + 81)

Reorder the terms:
0 = x2 + (-17x2 + 1x3)(81 + x2)

Multiply (-17x2 + 1x3) * (81 + x2)
0 = x2 + (-17x2 * (81 + x2) + 1x3 * (81 + x2))
0 = x2 + ((81 * -17x2 + x2 * -17x2) + 1x3 * (81 + x2))
0 = x2 + ((-1377x2 + -17x4) + 1x3 * (81 + x2))
0 = x2 + (-1377x2 + -17x4 + (81 * 1x3 + x2 * 1x3))
0 = x2 + (-1377x2 + -17x4 + (81x3 + 1x5))

Reorder the terms:
0 = x2 + (-1377x2 + 81x3 + -17x4 + 1x5)
0 = x2 + (-1377x2 + 81x3 + -17x4 + 1x5)

Combine like terms: x2 + -1377x2 = -1376x2
0 = -1376x2 + 81x3 + -17x4 + 1x5

Solving
0 = -1376x2 + 81x3 + -17x4 + 1x5

Solving for variable 'x'.
Remove the zero:
1376x2 + -81x3 + 17x4 + -1x5 = -1376x2 + 81x3 + -17x4 + 1x5 + 1376x2 + -81x3 + 17x4 + -1x5

Reorder the terms:
1376x2 + -81x3 + 17x4 + -1x5 = -1376x2 + 1376x2 + 81x3 + -81x3 + -17x4 + 17x4 + 1x5 + -1x5

Combine like terms: -1376x2 + 1376x2 = 0
1376x2 + -81x3 + 17x4 + -1x5 = 0 + 81x3 + -81x3 + -17x4 + 17x4 + 1x5 + -1x5
1376x2 + -81x3 + 17x4 + -1x5 = 81x3 + -81x3 + -17x4 + 17x4 + 1x5 + -1x5

Combine like terms: 81x3 + -81x3 = 0
1376x2 + -81x3 + 17x4 + -1x5 = 0 + -17x4 + 17x4 + 1x5 + -1x5
1376x2 + -81x3 + 17x4 + -1x5 = -17x4 + 17x4 + 1x5 + -1x5

Combine like terms: -17x4 + 17x4 = 0
1376x2 + -81x3 + 17x4 + -1x5 = 0 + 1x5 + -1x5
1376x2 + -81x3 + 17x4 + -1x5 = 1x5 + -1x5

Combine like terms: 1x5 + -1x5 = 0
1376x2 + -81x3 + 17x4 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(1376 + -81x + 17x2 + -1x3) = 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 '(1376 + -81x + 17x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
1376 + -81x + 17x2 + -1x3 = 0

Solving
1376 + -81x + 17x2 + -1x3 = 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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