x^4+2x^3-7x^2=4x+0

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Solution for x^4+2x^3-7x^2=4x+0 equation:


Simplifying
x4 + 2x3 + -7x2 = 4x + 0

Reorder the terms:
-7x2 + 2x3 + x4 = 4x + 0

Reorder the terms:
-7x2 + 2x3 + x4 = 0 + 4x
Remove the zero:
-7x2 + 2x3 + x4 = 4x

Solving
-7x2 + 2x3 + x4 = 4x

Solving for variable 'x'.

Reorder the terms:
-4x + -7x2 + 2x3 + x4 = 4x + -4x

Combine like terms: 4x + -4x = 0
-4x + -7x2 + 2x3 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + -7x + 2x2 + x3) = 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 '(-4 + -7x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying -4 + -7x + 2x2 + x3 = 0 Solving -4 + -7x + 2x2 + x3 = 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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