9m-6=(m+4)(m+4)

Solution for 9m-6=(m+4)(m+4) equation:

Simplifying
9m + -6 = (m + 4)(m + 4)

Reorder the terms:
-6 + 9m = (m + 4)(m + 4)

Reorder the terms:
-6 + 9m = (4 + m)(m + 4)

Reorder the terms:
-6 + 9m = (4 + m)(4 + m)

Multiply (4 + m) * (4 + m)
-6 + 9m = (4(4 + m) + m(4 + m))
-6 + 9m = ((4 * 4 + m * 4) + m(4 + m))
-6 + 9m = ((16 + 4m) + m(4 + m))
-6 + 9m = (16 + 4m + (4 * m + m * m))
-6 + 9m = (16 + 4m + (4m + m2))

Combine like terms: 4m + 4m = 8m
-6 + 9m = (16 + 8m + m2)

Solving
-6 + 9m = 16 + 8m + m2

Solving for variable 'm'.

Reorder the terms:
-6 + -16 + 9m + -8m + -1m2 = 16 + 8m + m2 + -16 + -8m + -1m2

Combine like terms: -6 + -16 = -22
-22 + 9m + -8m + -1m2 = 16 + 8m + m2 + -16 + -8m + -1m2

Combine like terms: 9m + -8m = 1m
-22 + 1m + -1m2 = 16 + 8m + m2 + -16 + -8m + -1m2

Reorder the terms:
-22 + 1m + -1m2 = 16 + -16 + 8m + -8m + m2 + -1m2

Combine like terms: 16 + -16 = 0
-22 + 1m + -1m2 = 0 + 8m + -8m + m2 + -1m2
-22 + 1m + -1m2 = 8m + -8m + m2 + -1m2

Combine like terms: 8m + -8m = 0
-22 + 1m + -1m2 = 0 + m2 + -1m2
-22 + 1m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-22 + 1m + -1m2 = 0

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

Divide each side by '-1'.
22 + -1m + m2 = 0

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -1m + -22 + m2 = 0 + -22

Reorder the terms:
22 + -22 + -1m + m2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1m + m2 = 0 + -22
-1m + m2 = 0 + -22

Combine like terms: 0 + -22 = -22
-1m + m2 = -22

The m term is -1m.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1m + 0.25 + m2 = -22 + 0.25

Reorder the terms:
0.25 + -1m + m2 = -22 + 0.25

Combine like terms: -22 + 0.25 = -21.75
0.25 + -1m + m2 = -21.75

Factor a perfect square on the left side:
(m + -0.5)(m + -0.5) = -21.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.