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

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

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

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

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

Multiply (1 + 2x) * (-4 + x)
6(1(-4 + x) + 2x * (-4 + x)) = 0
6((-4 * 1 + x * 1) + 2x * (-4 + x)) = 0
6((-4 + 1x) + 2x * (-4 + x)) = 0
6(-4 + 1x + (-4 * 2x + x * 2x)) = 0
6(-4 + 1x + (-8x + 2x2)) = 0

Combine like terms: 1x + -8x = -7x
6(-4 + -7x + 2x2) = 0
(-4 * 6 + -7x * 6 + 2x2 * 6) = 0
(-24 + -42x + 12x2) = 0

Solving
-24 + -42x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + -7x + 2x2) = 0

Factor a trinomial.
6((-1 + -2x)(4 + -1x)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-0.5, 4}