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

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


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

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

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

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

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

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

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

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

Combine like terms: 7x2 + 21x2 = 28x2
3(14 + 51x + 28x2 + 3x3) = 140
(14 * 3 + 51x * 3 + 28x2 * 3 + 3x3 * 3) = 140
(42 + 153x + 84x2 + 9x3) = 140

Solving
42 + 153x + 84x2 + 9x3 = 140

Solving for variable 'x'.

Reorder the terms:
42 + -140 + 153x + 84x2 + 9x3 = 140 + -140

Combine like terms: 42 + -140 = -98
-98 + 153x + 84x2 + 9x3 = 140 + -140

Combine like terms: 140 + -140 = 0
-98 + 153x + 84x2 + 9x3 = 0

The solution to this equation could not be determined.

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