=6x(4x+2)

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Solution for =6x(4x+2) equation: 


Simplifying
0 = 6x(4x + 2)

Reorder the terms:
0 = 6x(2 + 4x)
0 = (2 * 6x + 4x * 6x)
0 = (12x + 24x2)

Solving
0 = 12x + 24x2

Solving for variable 'x'.
Remove the zero:
-12x + -24x2 = 12x + 24x2 + -12x + -24x2

Reorder the terms:
-12x + -24x2 = 12x + -12x + 24x2 + -24x2

Combine like terms: 12x + -12x = 0
-12x + -24x2 = 0 + 24x2 + -24x2
-12x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-12x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '-12x'.
-12x(1 + 2x) = 0

Ignore the factor -12.

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 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0, -0.5}

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