20(m-16)-5m(4m-12)=60

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Solution for 20(m-16)-5m(4m-12)=60 equation: 


Simplifying
20(m + -16) + -5m(4m + -12) = 60

Reorder the terms:
20(-16 + m) + -5m(4m + -12) = 60
(-16 * 20 + m * 20) + -5m(4m + -12) = 60
(-320 + 20m) + -5m(4m + -12) = 60

Reorder the terms:
-320 + 20m + -5m(-12 + 4m) = 60
-320 + 20m + (-12 * -5m + 4m * -5m) = 60
-320 + 20m + (60m + -20m2) = 60

Combine like terms: 20m + 60m = 80m
-320 + 80m + -20m2 = 60

Solving
-320 + 80m + -20m2 = 60

Solving for variable 'm'.

Reorder the terms:
-320 + -60 + 80m + -20m2 = 60 + -60

Combine like terms: -320 + -60 = -380
-380 + 80m + -20m2 = 60 + -60

Combine like terms: 60 + -60 = 0
-380 + 80m + -20m2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-19 + 4m + -1m2) = 0

Ignore the factor 20.

Subproblem 1
Set the factor '(-19 + 4m + -1m2)' equal to zero and attempt to solve:

Simplifying
-19 + 4m + -1m2 = 0

Solving
-19 + 4m + -1m2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
19 + -4m + m2 = 0

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -4m + -19 + m2 = 0 + -19

Reorder the terms:
19 + -19 + -4m + m2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -4m + m2 = 0 + -19
-4m + m2 = 0 + -19

Combine like terms: 0 + -19 = -19
-4m + m2 = -19

The m term is -4m.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4m + 4 + m2 = -19 + 4

Reorder the terms:
4 + -4m + m2 = -19 + 4

Combine like terms: -19 + 4 = -15
4 + -4m + m2 = -15

Factor a perfect square on the left side:
(m + -2)(m + -2) = -15

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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