2x(x-5)(8x-2)=0

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Solution for 2x(x-5)(8x-2)=0 equation: 


Simplifying
2x(x + -5)(8x + -2) = 0

Reorder the terms:
2x(-5 + x)(8x + -2) = 0

Reorder the terms:
2x(-5 + x)(-2 + 8x) = 0

Multiply (-5 + x) * (-2 + 8x)
2x(-5(-2 + 8x) + x(-2 + 8x)) = 0
2x((-2 * -5 + 8x * -5) + x(-2 + 8x)) = 0
2x((10 + -40x) + x(-2 + 8x)) = 0
2x(10 + -40x + (-2 * x + 8x * x)) = 0
2x(10 + -40x + (-2x + 8x2)) = 0

Combine like terms: -40x + -2x = -42x
2x(10 + -42x + 8x2) = 0
(10 * 2x + -42x * 2x + 8x2 * 2x) = 0
(20x + -84x2 + 16x3) = 0

Solving
20x + -84x2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(5 + -21x + 4x2) = 0

Factor a trinomial.
4x((1 + -4x)(5 + -1x)) = 0

Ignore the factor 4.

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 '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0, 0.25, 5}

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