(2x+1)(3-9)=0

Solution for (2x+1)(3-9)=0 equation:

Simplifying
(2x + 1)(3 + -9) = 0

Reorder the terms:
(1 + 2x)(3 + -9) = 0

Combine like terms: 3 + -9 = -6
(1 + 2x)(-6) = 0

Reorder the terms for easier multiplication:
-6(1 + 2x) = 0
(1 * -6 + 2x * -6) = 0
(-6 + -12x) = 0

Solving
-6 + -12x = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -12x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -12x = 0 + 6
-12x = 0 + 6

Combine like terms: 0 + 6 = 6
-12x = 6

Divide each side by '-12'.
x = -0.5

Simplifying
x = -0.5