G(x)=x(x^2-25)(x^2-3x-4)

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Solution for G(x)=x(x^2-25)(x^2-3x-4) equation: 


Simplifying
G(x) = x(x2 + -25)(x2 + -3x + -4)

Multiply G * x
xG = x(x2 + -25)(x2 + -3x + -4)

Reorder the terms:
xG = x(-25 + x2)(x2 + -3x + -4)

Reorder the terms:
xG = x(-25 + x2)(-4 + -3x + x2)

Multiply (-25 + x2) * (-4 + -3x + x2)
xG = x(-25(-4 + -3x + x2) + x2(-4 + -3x + x2))
xG = x((-4 * -25 + -3x * -25 + x2 * -25) + x2(-4 + -3x + x2))
xG = x((100 + 75x + -25x2) + x2(-4 + -3x + x2))
xG = x(100 + 75x + -25x2 + (-4 * x2 + -3x * x2 + x2 * x2))
xG = x(100 + 75x + -25x2 + (-4x2 + -3x3 + x4))

Combine like terms: -25x2 + -4x2 = -29x2
xG = x(100 + 75x + -29x2 + -3x3 + x4)
xG = (100 * x + 75x * x + -29x2 * x + -3x3 * x + x4 * x)
xG = (100x + 75x2 + -29x3 + -3x4 + x5)

Solving
xG = 100x + 75x2 + -29x3 + -3x4 + x5

Solving for variable 'x'.

Reorder the terms:
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = 100x + 75x2 + -29x3 + -3x4 + x5 + -100x + -75x2 + 29x3 + 3x4 + -1x5

Reorder the terms:
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = 100x + -100x + 75x2 + -75x2 + -29x3 + 29x3 + -3x4 + 3x4 + x5 + -1x5

Combine like terms: 100x + -100x = 0
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = 0 + 75x2 + -75x2 + -29x3 + 29x3 + -3x4 + 3x4 + x5 + -1x5
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = 75x2 + -75x2 + -29x3 + 29x3 + -3x4 + 3x4 + x5 + -1x5

Combine like terms: 75x2 + -75x2 = 0
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = 0 + -29x3 + 29x3 + -3x4 + 3x4 + x5 + -1x5
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = -29x3 + 29x3 + -3x4 + 3x4 + x5 + -1x5

Combine like terms: -29x3 + 29x3 = 0
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = 0 + -3x4 + 3x4 + x5 + -1x5
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = -3x4 + 3x4 + x5 + -1x5

Combine like terms: -3x4 + 3x4 = 0
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = 0 + x5 + -1x5
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-100x + xG + -75x2 + 29x3 + 3x4 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-100 + G + -75x + 29x2 + 3x3 + -1x4) = 0


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 '(-100 + G + -75x + 29x2 + 3x3 + -1x4)' equal to zero and attempt to solve:

Simplifying
-100 + G + -75x + 29x2 + 3x3 + -1x4 = 0

Solving
-100 + G + -75x + 29x2 + 3x3 + -1x4 = 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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