r^4=4r^3+12r^3

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Solution for r^4=4r^3+12r^3 equation:


Simplifying
r4 = 4r3 + 12r3

Combine like terms: 4r3 + 12r3 = 16r3
r4 = 16r3

Solving
r4 = 16r3

Solving for variable 'r'.

Reorder the terms:
-16r3 + r4 = 16r3 + -16r3

Combine like terms: 16r3 + -16r3 = 0
-16r3 + r4 = 0

Factor out the Greatest Common Factor (GCF), 'r3'.
r3(-16 + r) = 0

Subproblem 1

Set the factor 'r3' equal to zero and attempt to solve: Simplifying r3 = 0 Solving r3 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-16 + r)' equal to zero and attempt to solve: Simplifying -16 + r = 0 Solving -16 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + r = 0 + 16 Combine like terms: -16 + 16 = 0 0 + r = 0 + 16 r = 0 + 16 Combine like terms: 0 + 16 = 16 r = 16 Simplifying r = 16

Solution

r = {16}

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