(x^2+7x+10)*(x^2+11x+28)-72=0

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Solution for (x^2+7x+10)*(x^2+11x+28)-72=0 equation: 


Simplifying
(x2 + 7x + 10)(x2 + 11x + 28) + -72 = 0

Reorder the terms:
(10 + 7x + x2)(x2 + 11x + 28) + -72 = 0

Reorder the terms:
(10 + 7x + x2)(28 + 11x + x2) + -72 = 0

Multiply (10 + 7x + x2) * (28 + 11x + x2)
(10(28 + 11x + x2) + 7x * (28 + 11x + x2) + x2(28 + 11x + x2)) + -72 = 0
((28 * 10 + 11x * 10 + x2 * 10) + 7x * (28 + 11x + x2) + x2(28 + 11x + x2)) + -72 = 0
((280 + 110x + 10x2) + 7x * (28 + 11x + x2) + x2(28 + 11x + x2)) + -72 = 0
(280 + 110x + 10x2 + (28 * 7x + 11x * 7x + x2 * 7x) + x2(28 + 11x + x2)) + -72 = 0
(280 + 110x + 10x2 + (196x + 77x2 + 7x3) + x2(28 + 11x + x2)) + -72 = 0
(280 + 110x + 10x2 + 196x + 77x2 + 7x3 + (28 * x2 + 11x * x2 + x2 * x2)) + -72 = 0
(280 + 110x + 10x2 + 196x + 77x2 + 7x3 + (28x2 + 11x3 + x4)) + -72 = 0

Reorder the terms:
(280 + 110x + 196x + 10x2 + 77x2 + 28x2 + 7x3 + 11x3 + x4) + -72 = 0

Combine like terms: 110x + 196x = 306x
(280 + 306x + 10x2 + 77x2 + 28x2 + 7x3 + 11x3 + x4) + -72 = 0

Combine like terms: 10x2 + 77x2 = 87x2
(280 + 306x + 87x2 + 28x2 + 7x3 + 11x3 + x4) + -72 = 0

Combine like terms: 87x2 + 28x2 = 115x2
(280 + 306x + 115x2 + 7x3 + 11x3 + x4) + -72 = 0

Combine like terms: 7x3 + 11x3 = 18x3
(280 + 306x + 115x2 + 18x3 + x4) + -72 = 0

Reorder the terms:
280 + -72 + 306x + 115x2 + 18x3 + x4 = 0

Combine like terms: 280 + -72 = 208
208 + 306x + 115x2 + 18x3 + x4 = 0

Solving
208 + 306x + 115x2 + 18x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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