(4x-1)(6)(x+1)=

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

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

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

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

Reorder the terms for easier multiplication:
6(-1 + 4x)(1 + x) = 0

Multiply (-1 + 4x) * (1 + x)
6(-1(1 + x) + 4x * (1 + x)) = 0
6((1 * -1 + x * -1) + 4x * (1 + x)) = 0
6((-1 + -1x) + 4x * (1 + x)) = 0
6(-1 + -1x + (1 * 4x + x * 4x)) = 0
6(-1 + -1x + (4x + 4x2)) = 0

Combine like terms: -1x + 4x = 3x
6(-1 + 3x + 4x2) = 0
(-1 * 6 + 3x * 6 + 4x2 * 6) = 0
(-6 + 18x + 24x2) = 0

Solving
-6 + 18x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + 3x + 4x2) = 0

Factor a trinomial.
6((-1 + -1x)(1 + -4x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

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

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

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

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

Simplifying
x = -1
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 = {-1, 0.25}