(x^2-2x+1)(5x^2-4x)=0

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Solution for (x^2-2x+1)(5x^2-4x)=0 equation: 


Simplifying
(x2 + -2x + 1)(5x2 + -4x) = 0

Reorder the terms:
(1 + -2x + x2)(5x2 + -4x) = 0

Reorder the terms:
(1 + -2x + x2)(-4x + 5x2) = 0

Multiply (1 + -2x + x2) * (-4x + 5x2)
(1(-4x + 5x2) + -2x * (-4x + 5x2) + x2(-4x + 5x2)) = 0
((-4x * 1 + 5x2 * 1) + -2x * (-4x + 5x2) + x2(-4x + 5x2)) = 0
((-4x + 5x2) + -2x * (-4x + 5x2) + x2(-4x + 5x2)) = 0
(-4x + 5x2 + (-4x * -2x + 5x2 * -2x) + x2(-4x + 5x2)) = 0
(-4x + 5x2 + (8x2 + -10x3) + x2(-4x + 5x2)) = 0
(-4x + 5x2 + 8x2 + -10x3 + (-4x * x2 + 5x2 * x2)) = 0
(-4x + 5x2 + 8x2 + -10x3 + (-4x3 + 5x4)) = 0

Combine like terms: 5x2 + 8x2 = 13x2
(-4x + 13x2 + -10x3 + -4x3 + 5x4) = 0

Combine like terms: -10x3 + -4x3 = -14x3
(-4x + 13x2 + -14x3 + 5x4) = 0

Solving
-4x + 13x2 + -14x3 + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 13x + -14x2 + 5x3) = 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 + 13x + -14x2 + 5x3)' equal to zero and attempt to solve:

Simplifying
-4 + 13x + -14x2 + 5x3 = 0

Solving
-4 + 13x + -14x2 + 5x3 = 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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