(x^2+5x)(x^2+5x+6)-72=0

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Solution for (x^2+5x)(x^2+5x+6)-72=0 equation: 


Simplifying
(x2 + 5x)(x2 + 5x + 6) + -72 = 0

Reorder the terms:
(5x + x2)(x2 + 5x + 6) + -72 = 0

Reorder the terms:
(5x + x2)(6 + 5x + x2) + -72 = 0

Multiply (5x + x2) * (6 + 5x + x2)
(5x * (6 + 5x + x2) + x2(6 + 5x + x2)) + -72 = 0
((6 * 5x + 5x * 5x + x2 * 5x) + x2(6 + 5x + x2)) + -72 = 0
((30x + 25x2 + 5x3) + x2(6 + 5x + x2)) + -72 = 0
(30x + 25x2 + 5x3 + (6 * x2 + 5x * x2 + x2 * x2)) + -72 = 0
(30x + 25x2 + 5x3 + (6x2 + 5x3 + x4)) + -72 = 0

Reorder the terms:
(30x + 25x2 + 6x2 + 5x3 + 5x3 + x4) + -72 = 0

Combine like terms: 25x2 + 6x2 = 31x2
(30x + 31x2 + 5x3 + 5x3 + x4) + -72 = 0

Combine like terms: 5x3 + 5x3 = 10x3
(30x + 31x2 + 10x3 + x4) + -72 = 0

Reorder the terms:
-72 + 30x + 31x2 + 10x3 + x4 = 0

Solving
-72 + 30x + 31x2 + 10x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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