(4x-3)(8x+6)=

Solution for (4x-3)(8x+6)= equation:

Simplifying
(4x + -3)(8x + 6) = 0

Reorder the terms:
(-3 + 4x)(8x + 6) = 0

Reorder the terms:
(-3 + 4x)(6 + 8x) = 0

Multiply (-3 + 4x) * (6 + 8x)
(-3(6 + 8x) + 4x * (6 + 8x)) = 0
((6 * -3 + 8x * -3) + 4x * (6 + 8x)) = 0
((-18 + -24x) + 4x * (6 + 8x)) = 0
(-18 + -24x + (6 * 4x + 8x * 4x)) = 0
(-18 + -24x + (24x + 32x2)) = 0

Combine like terms: -24x + 24x = 0
(-18 + 0 + 32x2) = 0
(-18 + 32x2) = 0

Solving
-18 + 32x2 = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 32x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 32x2 = 0 + 18
32x2 = 0 + 18

Combine like terms: 0 + 18 = 18
32x2 = 18

Divide each side by '32'.
x2 = 0.5625

Simplifying
x2 = 0.5625

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