3x^4=2x^3-75x^2-50x

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Solution for 3x^4=2x^3-75x^2-50x equation:


Simplifying
3x4 = 2x3 + -75x2 + -50x

Reorder the terms:
3x4 = -50x + -75x2 + 2x3

Solving
3x4 = -50x + -75x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
50x + 75x2 + -2x3 + 3x4 = -50x + -75x2 + 2x3 + 50x + 75x2 + -2x3

Reorder the terms:
50x + 75x2 + -2x3 + 3x4 = -50x + 50x + -75x2 + 75x2 + 2x3 + -2x3

Combine like terms: -50x + 50x = 0
50x + 75x2 + -2x3 + 3x4 = 0 + -75x2 + 75x2 + 2x3 + -2x3
50x + 75x2 + -2x3 + 3x4 = -75x2 + 75x2 + 2x3 + -2x3

Combine like terms: -75x2 + 75x2 = 0
50x + 75x2 + -2x3 + 3x4 = 0 + 2x3 + -2x3
50x + 75x2 + -2x3 + 3x4 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
50x + 75x2 + -2x3 + 3x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(50 + 75x + -2x2 + 3x3) = 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 '(50 + 75x + -2x2 + 3x3)' equal to zero and attempt to solve: Simplifying 50 + 75x + -2x2 + 3x3 = 0 Solving 50 + 75x + -2x2 + 3x3 = 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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