0=3x^2-75x-6x^4

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Solution for 0=3x^2-75x-6x^4 equation:


Simplifying
0 = 3x2 + -75x + -6x4

Reorder the terms:
0 = -75x + 3x2 + -6x4

Solving
0 = -75x + 3x2 + -6x4

Solving for variable 'x'.
Remove the zero:
75x + -3x2 + 6x4 = -75x + 3x2 + -6x4 + 75x + -3x2 + 6x4

Reorder the terms:
75x + -3x2 + 6x4 = -75x + 75x + 3x2 + -3x2 + -6x4 + 6x4

Combine like terms: -75x + 75x = 0
75x + -3x2 + 6x4 = 0 + 3x2 + -3x2 + -6x4 + 6x4
75x + -3x2 + 6x4 = 3x2 + -3x2 + -6x4 + 6x4

Combine like terms: 3x2 + -3x2 = 0
75x + -3x2 + 6x4 = 0 + -6x4 + 6x4
75x + -3x2 + 6x4 = -6x4 + 6x4

Combine like terms: -6x4 + 6x4 = 0
75x + -3x2 + 6x4 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(25 + -1x + 2x3) = 0

Ignore the factor 3.

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 '(25 + -1x + 2x3)' equal to zero and attempt to solve: Simplifying 25 + -1x + 2x3 = 0 Solving 25 + -1x + 2x3 = 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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