0=-4(r+8)(r+8)

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Solution for 0=-4(r+8)(r+8) equation: 


Simplifying
0 = -4(r + 8)(r + 8)

Reorder the terms:
0 = -4(8 + r)(r + 8)

Reorder the terms:
0 = -4(8 + r)(8 + r)

Multiply (8 + r) * (8 + r)
0 = -4(8(8 + r) + r(8 + r))
0 = -4((8 * 8 + r * 8) + r(8 + r))
0 = -4((64 + 8r) + r(8 + r))
0 = -4(64 + 8r + (8 * r + r * r))
0 = -4(64 + 8r + (8r + r2))

Combine like terms: 8r + 8r = 16r
0 = -4(64 + 16r + r2)
0 = (64 * -4 + 16r * -4 + r2 * -4)
0 = (-256 + -64r + -4r2)

Solving
0 = -256 + -64r + -4r2

Solving for variable 'r'.

Combine like terms: 0 + 256 = 256
256 + 64r + 4r2 = -256 + -64r + -4r2 + 256 + 64r + 4r2

Reorder the terms:
256 + 64r + 4r2 = -256 + 256 + -64r + 64r + -4r2 + 4r2

Combine like terms: -256 + 256 = 0
256 + 64r + 4r2 = 0 + -64r + 64r + -4r2 + 4r2
256 + 64r + 4r2 = -64r + 64r + -4r2 + 4r2

Combine like terms: -64r + 64r = 0
256 + 64r + 4r2 = 0 + -4r2 + 4r2
256 + 64r + 4r2 = -4r2 + 4r2

Combine like terms: -4r2 + 4r2 = 0
256 + 64r + 4r2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(64 + 16r + r2) = 0

Factor a trinomial.
4((8 + r)(8 + r)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve:

Simplifying
8 + r = 0

Solving
8 + r = 0

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

Add '-8' to each side of the equation.
8 + -8 + r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + r = 0 + -8
r = 0 + -8

Combine like terms: 0 + -8 = -8
r = -8

Simplifying
r = -8

Subproblem 2
Set the factor '(8 + r)' equal to zero and attempt to solve:

Simplifying
8 + r = 0

Solving
8 + r = 0

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

Add '-8' to each side of the equation.
8 + -8 + r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + r = 0 + -8
r = 0 + -8

Combine like terms: 0 + -8 = -8
r = -8

Simplifying
r = -8
Solution
r = {-8, -8}

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