4r(4R)+48=4r+24+4r(4r)-8r

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Solution for 4r(4R)+48=4r+24+4r(4r)-8r equation: 


Simplifying
4r(4R) + 48 = 4r + 24 + 4r(4r) + -8r

Remove parenthesis around (4R)
4r * 4R + 48 = 4r + 24 + 4r(4r) + -8r

Reorder the terms for easier multiplication:
4 * 4r * R + 48 = 4r + 24 + 4r(4r) + -8r

Multiply 4 * 4
16r * R + 48 = 4r + 24 + 4r(4r) + -8r

Multiply r * R
16rR + 48 = 4r + 24 + 4r(4r) + -8r

Reorder the terms:
48 + 16rR = 4r + 24 + 4r(4r) + -8r

Remove parenthesis around (4r)
48 + 16rR = 4r + 24 + 4r * 4r + -8r

Reorder the terms for easier multiplication:
48 + 16rR = 4r + 24 + 4 * 4r * r + -8r

Multiply 4 * 4
48 + 16rR = 4r + 24 + 16r * r + -8r

Multiply r * r
48 + 16rR = 4r + 24 + 16r2 + -8r

Reorder the terms:
48 + 16rR = 24 + 4r + -8r + 16r2

Combine like terms: 4r + -8r = -4r
48 + 16rR = 24 + -4r + 16r2

Solving
48 + 16rR = 24 + -4r + 16r2

Solving for variable 'r'.

Reorder the terms:
48 + -24 + 4r + 16rR + -16r2 = 24 + -4r + 16r2 + -24 + 4r + -16r2

Combine like terms: 48 + -24 = 24
24 + 4r + 16rR + -16r2 = 24 + -4r + 16r2 + -24 + 4r + -16r2

Reorder the terms:
24 + 4r + 16rR + -16r2 = 24 + -24 + -4r + 4r + 16r2 + -16r2

Combine like terms: 24 + -24 = 0
24 + 4r + 16rR + -16r2 = 0 + -4r + 4r + 16r2 + -16r2
24 + 4r + 16rR + -16r2 = -4r + 4r + 16r2 + -16r2

Combine like terms: -4r + 4r = 0
24 + 4r + 16rR + -16r2 = 0 + 16r2 + -16r2
24 + 4r + 16rR + -16r2 = 16r2 + -16r2

Combine like terms: 16r2 + -16r2 = 0
24 + 4r + 16rR + -16r2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + r + 4rR + -4r2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(6 + r + 4rR + -4r2)' equal to zero and attempt to solve:

Simplifying
6 + r + 4rR + -4r2 = 0

Solving
6 + r + 4rR + -4r2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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