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

Solution for (8x-6)(4x+3)=0 equation:

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

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

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

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