5m(4m-1)=-12

Solution for 5m(4m-1)=-12 equation:

Simplifying
5m(4m + -1) = -12

Reorder the terms:
5m(-1 + 4m) = -12
(-1 * 5m + 4m * 5m) = -12
(-5m + 20m2) = -12

Solving
-5m + 20m2 = -12

Solving for variable 'm'.

Reorder the terms:
12 + -5m + 20m2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -5m + 20m2 = 0

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

Divide each side by '20'.
0.6 + -0.25m + m2 = 0.0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.25m + -0.6 + m2 = 0.0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.25m + m2 = 0.0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.25m + m2 = 0.0 + -0.6
-0.25m + m2 = 0.0 + -0.6

Combine like terms: 0.0 + -0.6 = -0.6
-0.25m + m2 = -0.6

The m term is -0.25m.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25m + 0.015625 + m2 = -0.6 + 0.015625

Reorder the terms:
0.015625 + -0.25m + m2 = -0.6 + 0.015625

Combine like terms: -0.6 + 0.015625 = -0.584375
0.015625 + -0.25m + m2 = -0.584375

Factor a perfect square on the left side:
(m + -0.125)(m + -0.125) = -0.584375

Can't calculate square root of the right side.

The solution to this equation could not be determined.