(3+x)*(5+x)(7+x)=3*105

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Solution for (3+x)*(5+x)(7+x)=3*105 equation:


Simplifying
(3 + x)(5 + x)(7 + x) = 3 * 105

Multiply (3 + x) * (5 + x)
(3(5 + x) + x(5 + x))(7 + x) = 3 * 105
((5 * 3 + x * 3) + x(5 + x))(7 + x) = 3 * 105
((15 + 3x) + x(5 + x))(7 + x) = 3 * 105
(15 + 3x + (5 * x + x * x))(7 + x) = 3 * 105
(15 + 3x + (5x + x2))(7 + x) = 3 * 105

Combine like terms: 3x + 5x = 8x
(15 + 8x + x2)(7 + x) = 3 * 105

Multiply (15 + 8x + x2) * (7 + x)
(15(7 + x) + 8x * (7 + x) + x2(7 + x)) = 3 * 105
((7 * 15 + x * 15) + 8x * (7 + x) + x2(7 + x)) = 3 * 105
((105 + 15x) + 8x * (7 + x) + x2(7 + x)) = 3 * 105
(105 + 15x + (7 * 8x + x * 8x) + x2(7 + x)) = 3 * 105
(105 + 15x + (56x + 8x2) + x2(7 + x)) = 3 * 105
(105 + 15x + 56x + 8x2 + (7 * x2 + x * x2)) = 3 * 105
(105 + 15x + 56x + 8x2 + (7x2 + x3)) = 3 * 105

Combine like terms: 15x + 56x = 71x
(105 + 71x + 8x2 + 7x2 + x3) = 3 * 105

Combine like terms: 8x2 + 7x2 = 15x2
(105 + 71x + 15x2 + x3) = 3 * 105

Multiply 3 * 105
105 + 71x + 15x2 + x3 = 315

Solving
105 + 71x + 15x2 + x3 = 315

Solving for variable 'x'.

Reorder the terms:
105 + -315 + 71x + 15x2 + x3 = 315 + -315

Combine like terms: 105 + -315 = -210
-210 + 71x + 15x2 + x3 = 315 + -315

Combine like terms: 315 + -315 = 0
-210 + 71x + 15x2 + x3 = 0

The solution to this equation could not be determined.

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