x(4x-1)(2-6)=0

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Solution for x(4x-1)(2-6)=0 equation:


Simplifying
x(4x + -1)(2 + -6) = 0

Reorder the terms:
x(-1 + 4x)(2 + -6) = 0

Combine like terms: 2 + -6 = -4
x(-1 + 4x)(-4) = 0

Reorder the terms for easier multiplication:
-4x(-1 + 4x) = 0
(-1 * -4x + 4x * -4x) = 0
(4x + -16x2) = 0

Solving
4x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(1 + -4x) = 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
Solution
x = {0, 0.25}

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