m(-4)=(8x-5)(x+6)

Solution for m(-4)=(8x-5)(x+6) equation:

Simplifying
m(-4) = (8x + -5)(x + 6)

Reorder the terms for easier multiplication:
-4m = (8x + -5)(x + 6)

Reorder the terms:
-4m = (-5 + 8x)(x + 6)

Reorder the terms:
-4m = (-5 + 8x)(6 + x)

Multiply (-5 + 8x) * (6 + x)
-4m = (-5(6 + x) + 8x * (6 + x))
-4m = ((6 * -5 + x * -5) + 8x * (6 + x))
-4m = ((-30 + -5x) + 8x * (6 + x))
-4m = (-30 + -5x + (6 * 8x + x * 8x))
-4m = (-30 + -5x + (48x + 8x2))

Combine like terms: -5x + 48x = 43x
-4m = (-30 + 43x + 8x2)

Solving
-4m = -30 + 43x + 8x2

Solving for variable 'm'.

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

Divide each side by '-4'.
m = 7.5 + -10.75x + -2x2

Simplifying
m = 7.5 + -10.75x + -2x2