(5x^3-4x^4)+(2x^4+2x^3)=0

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Solution for (5x^3-4x^4)+(2x^4+2x^3)=0 equation: 


Simplifying
(5x3 + -4x4) + (2x4 + 2x3) = 0

Remove parenthesis around (5x3 + -4x4)
5x3 + -4x4 + (2x4 + 2x3) = 0

Reorder the terms:
5x3 + -4x4 + (2x3 + 2x4) = 0

Remove parenthesis around (2x3 + 2x4)
5x3 + -4x4 + 2x3 + 2x4 = 0

Reorder the terms:
5x3 + 2x3 + -4x4 + 2x4 = 0

Combine like terms: 5x3 + 2x3 = 7x3
7x3 + -4x4 + 2x4 = 0

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

Solving
7x3 + -2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(7 + -2x) = 0


Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {3.5}

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