3(m-2)-8(2-3m+5m^2)=0

Solution for 3(m-2)-8(2-3m+5m^2)=0 equation:

Simplifying
3(m + -2) + -8(2 + -3m + 5m2) = 0

Reorder the terms:
3(-2 + m) + -8(2 + -3m + 5m2) = 0
(-2 * 3 + m * 3) + -8(2 + -3m + 5m2) = 0
(-6 + 3m) + -8(2 + -3m + 5m2) = 0
-6 + 3m + (2 * -8 + -3m * -8 + 5m2 * -8) = 0
-6 + 3m + (-16 + 24m + -40m2) = 0

Reorder the terms:
-6 + -16 + 3m + 24m + -40m2 = 0

Combine like terms: -6 + -16 = -22
-22 + 3m + 24m + -40m2 = 0

Combine like terms: 3m + 24m = 27m
-22 + 27m + -40m2 = 0

Solving
-22 + 27m + -40m2 = 0

Solving for variable 'm'.

Begin completing the square.  Divide all terms by
-40 the coefficient of the squared term: 

Divide each side by '-40'.
0.55 + -0.675m + m2 = 0.0

Move the constant term to the right:

Add '-0.55' to each side of the equation.
0.55 + -0.675m + -0.55 + m2 = 0.0 + -0.55

Reorder the terms:
0.55 + -0.55 + -0.675m + m2 = 0.0 + -0.55

Combine like terms: 0.55 + -0.55 = 0.00
0.00 + -0.675m + m2 = 0.0 + -0.55
-0.675m + m2 = 0.0 + -0.55

Combine like terms: 0.0 + -0.55 = -0.55
-0.675m + m2 = -0.55

The m term is -0.675m.  Take half its coefficient (-0.3375).
Square it (0.11390625) and add it to both sides.

Add '0.11390625' to each side of the equation.
-0.675m + 0.11390625 + m2 = -0.55 + 0.11390625

Reorder the terms:
0.11390625 + -0.675m + m2 = -0.55 + 0.11390625

Combine like terms: -0.55 + 0.11390625 = -0.43609375
0.11390625 + -0.675m + m2 = -0.43609375

Factor a perfect square on the left side:
(m + -0.3375)(m + -0.3375) = -0.43609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.