5m(4m-1)=-15

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Solution for 5m(4m-1)=-15 equation: 


Simplifying
5m(4m + -1) = -15

Reorder the terms:
5m(-1 + 4m) = -15
(-1 * 5m + 4m * 5m) = -15
(-5m + 20m2) = -15

Solving
-5m + 20m2 = -15

Solving for variable 'm'.

Reorder the terms:
15 + -5m + 20m2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + -5m + 20m2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -1m + 4m2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(3 + -1m + 4m2)' equal to zero and attempt to solve:

Simplifying
3 + -1m + 4m2 = 0

Solving
3 + -1m + 4m2 = 0

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

Divide each side by '4'.
0.75 + -0.25m + m2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.25m + -0.75 + m2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.25m + m2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.25m + m2 = 0 + -0.75
-0.25m + m2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.25m + m2 = -0.75

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 = -0.75 + 0.015625

Reorder the terms:
0.015625 + -0.25m + m2 = -0.75 + 0.015625

Combine like terms: -0.75 + 0.015625 = -0.734375
0.015625 + -0.25m + m2 = -0.734375

Factor a perfect square on the left side:
(m + -0.125)(m + -0.125) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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