36m*36m+20m-16=

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Solution for 36m*36m+20m-16= equation: 


Simplifying
36m * 36m + 20m + -16 = 0

Reorder the terms for easier multiplication:
36 * 36m * m + 20m + -16 = 0

Multiply 36 * 36
1296m * m + 20m + -16 = 0

Multiply m * m
1296m2 + 20m + -16 = 0

Reorder the terms:
-16 + 20m + 1296m2 = 0

Solving
-16 + 20m + 1296m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + 5m + 324m2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-4 + 5m + 324m2)' equal to zero and attempt to solve:

Simplifying
-4 + 5m + 324m2 = 0

Solving
-4 + 5m + 324m2 = 0

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

Divide each side by '324'.
-0.01234567901 + 0.01543209877m + m2 = 0

Move the constant term to the right:

Add '0.01234567901' to each side of the equation.
-0.01234567901 + 0.01543209877m + 0.01234567901 + m2 = 0 + 0.01234567901

Reorder the terms:
-0.01234567901 + 0.01234567901 + 0.01543209877m + m2 = 0 + 0.01234567901

Combine like terms: -0.01234567901 + 0.01234567901 = 0.00000000000
0.00000000000 + 0.01543209877m + m2 = 0 + 0.01234567901
0.01543209877m + m2 = 0 + 0.01234567901

Combine like terms: 0 + 0.01234567901 = 0.01234567901
0.01543209877m + m2 = 0.01234567901

The m term is 0.01543209877m.  Take half its coefficient (0.007716049385).
Square it (0.00005953741811) and add it to both sides.

Add '0.00005953741811' to each side of the equation.
0.01543209877m + 0.00005953741811 + m2 = 0.01234567901 + 0.00005953741811

Reorder the terms:
0.00005953741811 + 0.01543209877m + m2 = 0.01234567901 + 0.00005953741811

Combine like terms: 0.01234567901 + 0.00005953741811 = 0.01240521642811
0.00005953741811 + 0.01543209877m + m2 = 0.01240521642811

Factor a perfect square on the left side:
(m + 0.007716049385)(m + 0.007716049385) = 0.01240521642811

Calculate the square root of the right side: 0.111378707

Break this problem into two subproblems by setting 
(m + 0.007716049385) equal to 0.111378707 and -0.111378707.


Subproblem 1
m + 0.007716049385 = 0.111378707

Simplifying
m + 0.007716049385 = 0.111378707

Reorder the terms:
0.007716049385 + m = 0.111378707

Solving
0.007716049385 + m = 0.111378707

Solving for variable 'm'.

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

Add '-0.007716049385' to each side of the equation.
0.007716049385 + -0.007716049385 + m = 0.111378707 + -0.007716049385

Combine like terms: 0.007716049385 + -0.007716049385 = 0.000000000000
0.000000000000 + m = 0.111378707 + -0.007716049385
m = 0.111378707 + -0.007716049385

Combine like terms: 0.111378707 + -0.007716049385 = 0.103662657615
m = 0.103662657615

Simplifying
m = 0.103662657615


Subproblem 2
m + 0.007716049385 = -0.111378707

Simplifying
m + 0.007716049385 = -0.111378707

Reorder the terms:
0.007716049385 + m = -0.111378707

Solving
0.007716049385 + m = -0.111378707

Solving for variable 'm'.

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

Add '-0.007716049385' to each side of the equation.
0.007716049385 + -0.007716049385 + m = -0.111378707 + -0.007716049385

Combine like terms: 0.007716049385 + -0.007716049385 = 0.000000000000
0.000000000000 + m = -0.111378707 + -0.007716049385
m = -0.111378707 + -0.007716049385

Combine like terms: -0.111378707 + -0.007716049385 = -0.119094756385
m = -0.119094756385

Simplifying
m = -0.119094756385


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {0.103662657615, -0.119094756385}
Solution
m = {0.103662657615, -0.119094756385}

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