(x+3)*(x+3)*(x+3)*(x+3)=5x+30

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Solution for (x+3)*(x+3)*(x+3)*(x+3)=5x+30 equation:


Simplifying
(x + 3)(x + 3)(x + 3)(x + 3) = 5x + 30

Reorder the terms:
(3 + x)(x + 3)(x + 3)(x + 3) = 5x + 30

Reorder the terms:
(3 + x)(3 + x)(x + 3)(x + 3) = 5x + 30

Reorder the terms:
(3 + x)(3 + x)(3 + x)(x + 3) = 5x + 30

Reorder the terms:
(3 + x)(3 + x)(3 + x)(3 + x) = 5x + 30

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x))(3 + x)(3 + x) = 5x + 30
((3 * 3 + x * 3) + x(3 + x))(3 + x)(3 + x) = 5x + 30
((9 + 3x) + x(3 + x))(3 + x)(3 + x) = 5x + 30
(9 + 3x + (3 * x + x * x))(3 + x)(3 + x) = 5x + 30
(9 + 3x + (3x + x2))(3 + x)(3 + x) = 5x + 30

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2)(3 + x)(3 + x) = 5x + 30

Multiply (9 + 6x + x2) * (3 + x)
(9(3 + x) + 6x * (3 + x) + x2(3 + x))(3 + x) = 5x + 30
((3 * 9 + x * 9) + 6x * (3 + x) + x2(3 + x))(3 + x) = 5x + 30
((27 + 9x) + 6x * (3 + x) + x2(3 + x))(3 + x) = 5x + 30
(27 + 9x + (3 * 6x + x * 6x) + x2(3 + x))(3 + x) = 5x + 30
(27 + 9x + (18x + 6x2) + x2(3 + x))(3 + x) = 5x + 30
(27 + 9x + 18x + 6x2 + (3 * x2 + x * x2))(3 + x) = 5x + 30
(27 + 9x + 18x + 6x2 + (3x2 + x3))(3 + x) = 5x + 30

Combine like terms: 9x + 18x = 27x
(27 + 27x + 6x2 + 3x2 + x3)(3 + x) = 5x + 30

Combine like terms: 6x2 + 3x2 = 9x2
(27 + 27x + 9x2 + x3)(3 + x) = 5x + 30

Multiply (27 + 27x + 9x2 + x3) * (3 + x)
(27(3 + x) + 27x * (3 + x) + 9x2 * (3 + x) + x3(3 + x)) = 5x + 30
((3 * 27 + x * 27) + 27x * (3 + x) + 9x2 * (3 + x) + x3(3 + x)) = 5x + 30
((81 + 27x) + 27x * (3 + x) + 9x2 * (3 + x) + x3(3 + x)) = 5x + 30
(81 + 27x + (3 * 27x + x * 27x) + 9x2 * (3 + x) + x3(3 + x)) = 5x + 30
(81 + 27x + (81x + 27x2) + 9x2 * (3 + x) + x3(3 + x)) = 5x + 30
(81 + 27x + 81x + 27x2 + (3 * 9x2 + x * 9x2) + x3(3 + x)) = 5x + 30
(81 + 27x + 81x + 27x2 + (27x2 + 9x3) + x3(3 + x)) = 5x + 30
(81 + 27x + 81x + 27x2 + 27x2 + 9x3 + (3 * x3 + x * x3)) = 5x + 30
(81 + 27x + 81x + 27x2 + 27x2 + 9x3 + (3x3 + x4)) = 5x + 30

Combine like terms: 27x + 81x = 108x
(81 + 108x + 27x2 + 27x2 + 9x3 + 3x3 + x4) = 5x + 30

Combine like terms: 27x2 + 27x2 = 54x2
(81 + 108x + 54x2 + 9x3 + 3x3 + x4) = 5x + 30

Combine like terms: 9x3 + 3x3 = 12x3
(81 + 108x + 54x2 + 12x3 + x4) = 5x + 30

Reorder the terms:
81 + 108x + 54x2 + 12x3 + x4 = 30 + 5x

Solving
81 + 108x + 54x2 + 12x3 + x4 = 30 + 5x

Solving for variable 'x'.

Reorder the terms:
81 + -30 + 108x + -5x + 54x2 + 12x3 + x4 = 30 + 5x + -30 + -5x

Combine like terms: 81 + -30 = 51
51 + 108x + -5x + 54x2 + 12x3 + x4 = 30 + 5x + -30 + -5x

Combine like terms: 108x + -5x = 103x
51 + 103x + 54x2 + 12x3 + x4 = 30 + 5x + -30 + -5x

Reorder the terms:
51 + 103x + 54x2 + 12x3 + x4 = 30 + -30 + 5x + -5x

Combine like terms: 30 + -30 = 0
51 + 103x + 54x2 + 12x3 + x4 = 0 + 5x + -5x
51 + 103x + 54x2 + 12x3 + x4 = 5x + -5x

Combine like terms: 5x + -5x = 0
51 + 103x + 54x2 + 12x3 + x4 = 0

The solution to this equation could not be determined.

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