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

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


Simplifying
x(5x + -3)(2x2 + -5x + 5) = 0

Reorder the terms:
x(-3 + 5x)(2x2 + -5x + 5) = 0

Reorder the terms:
x(-3 + 5x)(5 + -5x + 2x2) = 0

Multiply (-3 + 5x) * (5 + -5x + 2x2)
x(-3(5 + -5x + 2x2) + 5x * (5 + -5x + 2x2)) = 0
x((5 * -3 + -5x * -3 + 2x2 * -3) + 5x * (5 + -5x + 2x2)) = 0
x((-15 + 15x + -6x2) + 5x * (5 + -5x + 2x2)) = 0
x(-15 + 15x + -6x2 + (5 * 5x + -5x * 5x + 2x2 * 5x)) = 0
x(-15 + 15x + -6x2 + (25x + -25x2 + 10x3)) = 0

Reorder the terms:
x(-15 + 15x + 25x + -6x2 + -25x2 + 10x3) = 0

Combine like terms: 15x + 25x = 40x
x(-15 + 40x + -6x2 + -25x2 + 10x3) = 0

Combine like terms: -6x2 + -25x2 = -31x2
x(-15 + 40x + -31x2 + 10x3) = 0
(-15 * x + 40x * x + -31x2 * x + 10x3 * x) = 0
(-15x + 40x2 + -31x3 + 10x4) = 0

Solving
-15x + 40x2 + -31x3 + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + 40x + -31x2 + 10x3) = 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 '(-15 + 40x + -31x2 + 10x3)' equal to zero and attempt to solve:

Simplifying
-15 + 40x + -31x2 + 10x3 = 0

Solving
-15 + 40x + -31x2 + 10x3 = 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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