16-ym^2=(4+2m)(4-2m)

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Solution for 16-ym^2=(4+2m)(4-2m) equation: 


Simplifying
16 + -1ym2 = (4 + 2m)(4 + -2m)

Multiply (4 + 2m) * (4 + -2m)
16 + -1m2y = (4(4 + -2m) + 2m * (4 + -2m))
16 + -1m2y = ((4 * 4 + -2m * 4) + 2m * (4 + -2m))
16 + -1m2y = ((16 + -8m) + 2m * (4 + -2m))
16 + -1m2y = (16 + -8m + (4 * 2m + -2m * 2m))
16 + -1m2y = (16 + -8m + (8m + -4m2))

Combine like terms: -8m + 8m = 0
16 + -1m2y = (16 + 0 + -4m2)
16 + -1m2y = (16 + -4m2)

Add '-16' to each side of the equation.
16 + -16 + -1m2y = 16 + -16 + -4m2

Combine like terms: 16 + -16 = 0
0 + -1m2y = 16 + -16 + -4m2
-1m2y = 16 + -16 + -4m2

Combine like terms: 16 + -16 = 0
-1m2y = 0 + -4m2
-1m2y = -4m2

Solving
-1m2y = -4m2

Solving for variable 'm'.

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

Add '4m2' to each side of the equation.
4m2 + -1m2y = -4m2 + 4m2

Combine like terms: -4m2 + 4m2 = 0
4m2 + -1m2y = 0

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


Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}

Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

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

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Add 'y' to each side of the equation.
-1y + y = -4 + y

Combine like terms: -1y + y = 0
0 = -4 + y

Simplifying
0 = -4 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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