4r-4=(r-4)(r-4)

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Solution for 4r-4=(r-4)(r-4) equation: 


Simplifying
4r + -4 = (r + -4)(r + -4)

Reorder the terms:
-4 + 4r = (r + -4)(r + -4)

Reorder the terms:
-4 + 4r = (-4 + r)(r + -4)

Reorder the terms:
-4 + 4r = (-4 + r)(-4 + r)

Multiply (-4 + r) * (-4 + r)
-4 + 4r = (-4(-4 + r) + r(-4 + r))
-4 + 4r = ((-4 * -4 + r * -4) + r(-4 + r))
-4 + 4r = ((16 + -4r) + r(-4 + r))
-4 + 4r = (16 + -4r + (-4 * r + r * r))
-4 + 4r = (16 + -4r + (-4r + r2))

Combine like terms: -4r + -4r = -8r
-4 + 4r = (16 + -8r + r2)

Solving
-4 + 4r = 16 + -8r + r2

Solving for variable 'r'.

Reorder the terms:
-4 + -16 + 4r + 8r + -1r2 = 16 + -8r + r2 + -16 + 8r + -1r2

Combine like terms: -4 + -16 = -20
-20 + 4r + 8r + -1r2 = 16 + -8r + r2 + -16 + 8r + -1r2

Combine like terms: 4r + 8r = 12r
-20 + 12r + -1r2 = 16 + -8r + r2 + -16 + 8r + -1r2

Reorder the terms:
-20 + 12r + -1r2 = 16 + -16 + -8r + 8r + r2 + -1r2

Combine like terms: 16 + -16 = 0
-20 + 12r + -1r2 = 0 + -8r + 8r + r2 + -1r2
-20 + 12r + -1r2 = -8r + 8r + r2 + -1r2

Combine like terms: -8r + 8r = 0
-20 + 12r + -1r2 = 0 + r2 + -1r2
-20 + 12r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-20 + 12r + -1r2 = 0

Factor a trinomial.
(-10 + r)(2 + -1r) = 0


Subproblem 1
Set the factor '(-10 + r)' equal to zero and attempt to solve:

Simplifying
-10 + r = 0

Solving
-10 + r = 0

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

Add '10' to each side of the equation.
-10 + 10 + r = 0 + 10

Combine like terms: -10 + 10 = 0
0 + r = 0 + 10
r = 0 + 10

Combine like terms: 0 + 10 = 10
r = 10

Simplifying
r = 10

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

Simplifying
2 + -1r = 0

Solving
2 + -1r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 0 + -2
-1r = 0 + -2

Combine like terms: 0 + -2 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2
Solution
r = {10, 2}

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