(2X+-1)(X+6)=

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

Simplifying
(2X + -1)(X + 6) = 0

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

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

Multiply (-1 + 2X) * (6 + X)
(-1(6 + X) + 2X * (6 + X)) = 0
((6 * -1 + X * -1) + 2X * (6 + X)) = 0
((-6 + -1X) + 2X * (6 + X)) = 0
(-6 + -1X + (6 * 2X + X * 2X)) = 0
(-6 + -1X + (12X + 2X2)) = 0

Combine like terms: -1X + 12X = 11X
(-6 + 11X + 2X2) = 0

Solving
-6 + 11X + 2X2 = 0

Solving for variable 'X'.

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

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

Simplifying
-6 + -1X = 0

Solving
-6 + -1X = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1X = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1X = 0 + 6
-1X = 0 + 6

Combine like terms: 0 + 6 = 6
-1X = 6

Divide each side by '-1'.
X = -6

Simplifying
X = -6
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 = {-6, 0.5}