4(m-4)4m-16=

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Solution for 4(m-4)4m-16= equation: 


Simplifying
4(m + -4) * 4m + -16 = 0

Reorder the terms:
4(-4 + m) * 4m + -16 = 0

Reorder the terms for easier multiplication:
4 * 4m(-4 + m) + -16 = 0

Multiply 4 * 4
16m(-4 + m) + -16 = 0
(-4 * 16m + m * 16m) + -16 = 0
(-64m + 16m2) + -16 = 0

Reorder the terms:
-16 + -64m + 16m2 = 0

Solving
-16 + -64m + 16m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-1 + -4m + m2) = 0

Ignore the factor 16.

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

Simplifying
-1 + -4m + m2 = 0

Solving
-1 + -4m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -4m + 1 + m2 = 0 + 1

Reorder the terms:
-1 + 1 + -4m + m2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4m + m2 = 0 + 1
-4m + m2 = 0 + 1

Combine like terms: 0 + 1 = 1
-4m + m2 = 1

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 = 1 + 4

Reorder the terms:
4 + -4m + m2 = 1 + 4

Combine like terms: 1 + 4 = 5
4 + -4m + m2 = 5

Factor a perfect square on the left side:
(m + -2)(m + -2) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(m + -2) equal to 2.236067978 and -2.236067978.


Subproblem 1
m + -2 = 2.236067978

Simplifying
m + -2 = 2.236067978

Reorder the terms:
-2 + m = 2.236067978

Solving
-2 + m = 2.236067978

Solving for variable 'm'.

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

Add '2' to each side of the equation.
-2 + 2 + m = 2.236067978 + 2

Combine like terms: -2 + 2 = 0
0 + m = 2.236067978 + 2
m = 2.236067978 + 2

Combine like terms: 2.236067978 + 2 = 4.236067978
m = 4.236067978

Simplifying
m = 4.236067978


Subproblem 2
m + -2 = -2.236067978

Simplifying
m + -2 = -2.236067978

Reorder the terms:
-2 + m = -2.236067978

Solving
-2 + m = -2.236067978

Solving for variable 'm'.

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

Add '2' to each side of the equation.
-2 + 2 + m = -2.236067978 + 2

Combine like terms: -2 + 2 = 0
0 + m = -2.236067978 + 2
m = -2.236067978 + 2

Combine like terms: -2.236067978 + 2 = -0.236067978
m = -0.236067978

Simplifying
m = -0.236067978


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {4.236067978, -0.236067978}
Solution
m = {4.236067978, -0.236067978}

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