(x+5)(x+7)(3x+3)=567

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Solution for (x+5)(x+7)(3x+3)=567 equation: 


Simplifying
(x + 5)(x + 7)(3x + 3) = 567

Reorder the terms:
(5 + x)(x + 7)(3x + 3) = 567

Reorder the terms:
(5 + x)(7 + x)(3x + 3) = 567

Reorder the terms:
(5 + x)(7 + x)(3 + 3x) = 567

Multiply (5 + x) * (7 + x)
(5(7 + x) + x(7 + x))(3 + 3x) = 567
((7 * 5 + x * 5) + x(7 + x))(3 + 3x) = 567
((35 + 5x) + x(7 + x))(3 + 3x) = 567
(35 + 5x + (7 * x + x * x))(3 + 3x) = 567
(35 + 5x + (7x + x2))(3 + 3x) = 567

Combine like terms: 5x + 7x = 12x
(35 + 12x + x2)(3 + 3x) = 567

Multiply (35 + 12x + x2) * (3 + 3x)
(35(3 + 3x) + 12x * (3 + 3x) + x2(3 + 3x)) = 567
((3 * 35 + 3x * 35) + 12x * (3 + 3x) + x2(3 + 3x)) = 567
((105 + 105x) + 12x * (3 + 3x) + x2(3 + 3x)) = 567
(105 + 105x + (3 * 12x + 3x * 12x) + x2(3 + 3x)) = 567
(105 + 105x + (36x + 36x2) + x2(3 + 3x)) = 567
(105 + 105x + 36x + 36x2 + (3 * x2 + 3x * x2)) = 567
(105 + 105x + 36x + 36x2 + (3x2 + 3x3)) = 567

Combine like terms: 105x + 36x = 141x
(105 + 141x + 36x2 + 3x2 + 3x3) = 567

Combine like terms: 36x2 + 3x2 = 39x2
(105 + 141x + 39x2 + 3x3) = 567

Solving
105 + 141x + 39x2 + 3x3 = 567

Solving for variable 'x'.

Reorder the terms:
105 + -567 + 141x + 39x2 + 3x3 = 567 + -567

Combine like terms: 105 + -567 = -462
-462 + 141x + 39x2 + 3x3 = 567 + -567

Combine like terms: 567 + -567 = 0
-462 + 141x + 39x2 + 3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-154 + 47x + 13x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-154 + 47x + 13x2 + x3)' equal to zero and attempt to solve:

Simplifying
-154 + 47x + 13x2 + x3 = 0

Solving
-154 + 47x + 13x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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