0=(r+3)(r+3)(r+3)(r+3)

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Solution for 0=(r+3)(r+3)(r+3)(r+3) equation:


Simplifying
0 = (r + 3)(r + 3)(r + 3)(r + 3)

Reorder the terms:
0 = (3 + r)(r + 3)(r + 3)(r + 3)

Reorder the terms:
0 = (3 + r)(3 + r)(r + 3)(r + 3)

Reorder the terms:
0 = (3 + r)(3 + r)(3 + r)(r + 3)

Reorder the terms:
0 = (3 + r)(3 + r)(3 + r)(3 + r)

Multiply (3 + r) * (3 + r)
0 = (3(3 + r) + r(3 + r))(3 + r)(3 + r)
0 = ((3 * 3 + r * 3) + r(3 + r))(3 + r)(3 + r)
0 = ((9 + 3r) + r(3 + r))(3 + r)(3 + r)
0 = (9 + 3r + (3 * r + r * r))(3 + r)(3 + r)
0 = (9 + 3r + (3r + r2))(3 + r)(3 + r)

Combine like terms: 3r + 3r = 6r
0 = (9 + 6r + r2)(3 + r)(3 + r)

Multiply (9 + 6r + r2) * (3 + r)
0 = (9(3 + r) + 6r * (3 + r) + r2(3 + r))(3 + r)
0 = ((3 * 9 + r * 9) + 6r * (3 + r) + r2(3 + r))(3 + r)
0 = ((27 + 9r) + 6r * (3 + r) + r2(3 + r))(3 + r)
0 = (27 + 9r + (3 * 6r + r * 6r) + r2(3 + r))(3 + r)
0 = (27 + 9r + (18r + 6r2) + r2(3 + r))(3 + r)
0 = (27 + 9r + 18r + 6r2 + (3 * r2 + r * r2))(3 + r)
0 = (27 + 9r + 18r + 6r2 + (3r2 + r3))(3 + r)

Combine like terms: 9r + 18r = 27r
0 = (27 + 27r + 6r2 + 3r2 + r3)(3 + r)

Combine like terms: 6r2 + 3r2 = 9r2
0 = (27 + 27r + 9r2 + r3)(3 + r)

Multiply (27 + 27r + 9r2 + r3) * (3 + r)
0 = (27(3 + r) + 27r * (3 + r) + 9r2 * (3 + r) + r3(3 + r))
0 = ((3 * 27 + r * 27) + 27r * (3 + r) + 9r2 * (3 + r) + r3(3 + r))
0 = ((81 + 27r) + 27r * (3 + r) + 9r2 * (3 + r) + r3(3 + r))
0 = (81 + 27r + (3 * 27r + r * 27r) + 9r2 * (3 + r) + r3(3 + r))
0 = (81 + 27r + (81r + 27r2) + 9r2 * (3 + r) + r3(3 + r))
0 = (81 + 27r + 81r + 27r2 + (3 * 9r2 + r * 9r2) + r3(3 + r))
0 = (81 + 27r + 81r + 27r2 + (27r2 + 9r3) + r3(3 + r))
0 = (81 + 27r + 81r + 27r2 + 27r2 + 9r3 + (3 * r3 + r * r3))
0 = (81 + 27r + 81r + 27r2 + 27r2 + 9r3 + (3r3 + r4))

Combine like terms: 27r + 81r = 108r
0 = (81 + 108r + 27r2 + 27r2 + 9r3 + 3r3 + r4)

Combine like terms: 27r2 + 27r2 = 54r2
0 = (81 + 108r + 54r2 + 9r3 + 3r3 + r4)

Combine like terms: 9r3 + 3r3 = 12r3
0 = (81 + 108r + 54r2 + 12r3 + r4)

Solving
0 = 81 + 108r + 54r2 + 12r3 + r4

Solving for variable 'r'.

Combine like terms: 0 + -81 = -81
-81 + -108r + -54r2 + -12r3 + -1r4 = 81 + 108r + 54r2 + 12r3 + r4 + -81 + -108r + -54r2 + -12r3 + -1r4

Reorder the terms:
-81 + -108r + -54r2 + -12r3 + -1r4 = 81 + -81 + 108r + -108r + 54r2 + -54r2 + 12r3 + -12r3 + r4 + -1r4

Combine like terms: 81 + -81 = 0
-81 + -108r + -54r2 + -12r3 + -1r4 = 0 + 108r + -108r + 54r2 + -54r2 + 12r3 + -12r3 + r4 + -1r4
-81 + -108r + -54r2 + -12r3 + -1r4 = 108r + -108r + 54r2 + -54r2 + 12r3 + -12r3 + r4 + -1r4

Combine like terms: 108r + -108r = 0
-81 + -108r + -54r2 + -12r3 + -1r4 = 0 + 54r2 + -54r2 + 12r3 + -12r3 + r4 + -1r4
-81 + -108r + -54r2 + -12r3 + -1r4 = 54r2 + -54r2 + 12r3 + -12r3 + r4 + -1r4

Combine like terms: 54r2 + -54r2 = 0
-81 + -108r + -54r2 + -12r3 + -1r4 = 0 + 12r3 + -12r3 + r4 + -1r4
-81 + -108r + -54r2 + -12r3 + -1r4 = 12r3 + -12r3 + r4 + -1r4

Combine like terms: 12r3 + -12r3 = 0
-81 + -108r + -54r2 + -12r3 + -1r4 = 0 + r4 + -1r4
-81 + -108r + -54r2 + -12r3 + -1r4 = r4 + -1r4

Combine like terms: r4 + -1r4 = 0
-81 + -108r + -54r2 + -12r3 + -1r4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(81 + 108r + 54r2 + 12r3 + r4) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(81 + 108r + 54r2 + 12r3 + r4)' equal to zero and attempt to solve: Simplifying 81 + 108r + 54r2 + 12r3 + r4 = 0 Solving 81 + 108r + 54r2 + 12r3 + r4 = 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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