(6x+5)(3x+2)(x+1)=28

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Solution for (6x+5)(3x+2)(x+1)=28 equation: 


Simplifying
(6x + 5)(3x + 2)(x + 1) = 28

Reorder the terms:
(5 + 6x)(3x + 2)(x + 1) = 28

Reorder the terms:
(5 + 6x)(2 + 3x)(x + 1) = 28

Reorder the terms:
(5 + 6x)(2 + 3x)(1 + x) = 28

Multiply (5 + 6x) * (2 + 3x)
(5(2 + 3x) + 6x * (2 + 3x))(1 + x) = 28
((2 * 5 + 3x * 5) + 6x * (2 + 3x))(1 + x) = 28
((10 + 15x) + 6x * (2 + 3x))(1 + x) = 28
(10 + 15x + (2 * 6x + 3x * 6x))(1 + x) = 28
(10 + 15x + (12x + 18x2))(1 + x) = 28

Combine like terms: 15x + 12x = 27x
(10 + 27x + 18x2)(1 + x) = 28

Multiply (10 + 27x + 18x2) * (1 + x)
(10(1 + x) + 27x * (1 + x) + 18x2 * (1 + x)) = 28
((1 * 10 + x * 10) + 27x * (1 + x) + 18x2 * (1 + x)) = 28
((10 + 10x) + 27x * (1 + x) + 18x2 * (1 + x)) = 28
(10 + 10x + (1 * 27x + x * 27x) + 18x2 * (1 + x)) = 28
(10 + 10x + (27x + 27x2) + 18x2 * (1 + x)) = 28
(10 + 10x + 27x + 27x2 + (1 * 18x2 + x * 18x2)) = 28
(10 + 10x + 27x + 27x2 + (18x2 + 18x3)) = 28

Combine like terms: 10x + 27x = 37x
(10 + 37x + 27x2 + 18x2 + 18x3) = 28

Combine like terms: 27x2 + 18x2 = 45x2
(10 + 37x + 45x2 + 18x3) = 28

Solving
10 + 37x + 45x2 + 18x3 = 28

Solving for variable 'x'.

Reorder the terms:
10 + -28 + 37x + 45x2 + 18x3 = 28 + -28

Combine like terms: 10 + -28 = -18
-18 + 37x + 45x2 + 18x3 = 28 + -28

Combine like terms: 28 + -28 = 0
-18 + 37x + 45x2 + 18x3 = 0

The solution to this equation could not be determined.

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