(24x-18)(4x+3)=

Solution for (24x-18)(4x+3)= equation:

Simplifying
(24x + -18)(4x + 3) = 0

Reorder the terms:
(-18 + 24x)(4x + 3) = 0

Reorder the terms:
(-18 + 24x)(3 + 4x) = 0

Multiply (-18 + 24x) * (3 + 4x)
(-18(3 + 4x) + 24x * (3 + 4x)) = 0
((3 * -18 + 4x * -18) + 24x * (3 + 4x)) = 0
((-54 + -72x) + 24x * (3 + 4x)) = 0
(-54 + -72x + (3 * 24x + 4x * 24x)) = 0
(-54 + -72x + (72x + 96x2)) = 0

Combine like terms: -72x + 72x = 0
(-54 + 0 + 96x2) = 0
(-54 + 96x2) = 0

Solving
-54 + 96x2 = 0

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + 54 + 96x2 = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 96x2 = 0 + 54
96x2 = 0 + 54

Combine like terms: 0 + 54 = 54
96x2 = 54

Divide each side by '96'.
x2 = 0.5625

Simplifying
x2 = 0.5625

Take the square root of each side:
x = {-0.75, 0.75}