15x^5-20x^4=6x^3-8x^2

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Solution for 15x^5-20x^4=6x^3-8x^2 equation: 


Simplifying
15x5 + -20x4 = 6x3 + -8x2

Reorder the terms:
-20x4 + 15x5 = 6x3 + -8x2

Reorder the terms:
-20x4 + 15x5 = -8x2 + 6x3

Solving
-20x4 + 15x5 = -8x2 + 6x3

Solving for variable 'x'.

Reorder the terms:
8x2 + -6x3 + -20x4 + 15x5 = -8x2 + 6x3 + 8x2 + -6x3

Reorder the terms:
8x2 + -6x3 + -20x4 + 15x5 = -8x2 + 8x2 + 6x3 + -6x3

Combine like terms: -8x2 + 8x2 = 0
8x2 + -6x3 + -20x4 + 15x5 = 0 + 6x3 + -6x3
8x2 + -6x3 + -20x4 + 15x5 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
8x2 + -6x3 + -20x4 + 15x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(8 + -6x + -20x2 + 15x3) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(8 + -6x + -20x2 + 15x3)' equal to zero and attempt to solve:

Simplifying
8 + -6x + -20x2 + 15x3 = 0

Solving
8 + -6x + -20x2 + 15x3 = 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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