(x+2)(3x+1)(x+7)=140

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Solution for (x+2)(3x+1)(x+7)=140 equation: 


Simplifying
(x + 2)(3x + 1)(x + 7) = 140

Reorder the terms:
(2 + x)(3x + 1)(x + 7) = 140

Reorder the terms:
(2 + x)(1 + 3x)(x + 7) = 140

Reorder the terms:
(2 + x)(1 + 3x)(7 + x) = 140

Multiply (2 + x) * (1 + 3x)
(2(1 + 3x) + x(1 + 3x))(7 + x) = 140
((1 * 2 + 3x * 2) + x(1 + 3x))(7 + x) = 140
((2 + 6x) + x(1 + 3x))(7 + x) = 140
(2 + 6x + (1 * x + 3x * x))(7 + x) = 140
(2 + 6x + (1x + 3x2))(7 + x) = 140

Combine like terms: 6x + 1x = 7x
(2 + 7x + 3x2)(7 + x) = 140

Multiply (2 + 7x + 3x2) * (7 + x)
(2(7 + x) + 7x * (7 + x) + 3x2 * (7 + x)) = 140
((7 * 2 + x * 2) + 7x * (7 + x) + 3x2 * (7 + x)) = 140
((14 + 2x) + 7x * (7 + x) + 3x2 * (7 + x)) = 140
(14 + 2x + (7 * 7x + x * 7x) + 3x2 * (7 + x)) = 140
(14 + 2x + (49x + 7x2) + 3x2 * (7 + x)) = 140
(14 + 2x + 49x + 7x2 + (7 * 3x2 + x * 3x2)) = 140
(14 + 2x + 49x + 7x2 + (21x2 + 3x3)) = 140

Combine like terms: 2x + 49x = 51x
(14 + 51x + 7x2 + 21x2 + 3x3) = 140

Combine like terms: 7x2 + 21x2 = 28x2
(14 + 51x + 28x2 + 3x3) = 140

Solving
14 + 51x + 28x2 + 3x3 = 140

Solving for variable 'x'.

Reorder the terms:
14 + -140 + 51x + 28x2 + 3x3 = 140 + -140

Combine like terms: 14 + -140 = -126
-126 + 51x + 28x2 + 3x3 = 140 + -140

Combine like terms: 140 + -140 = 0
-126 + 51x + 28x2 + 3x3 = 0

The solution to this equation could not be determined.

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