(x^2+2x+3)(x^2+2x-10)+22=0

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Solution for (x^2+2x+3)(x^2+2x-10)+22=0 equation: 


Simplifying
(x2 + 2x + 3)(x2 + 2x + -10) + 22 = 0

Reorder the terms:
(3 + 2x + x2)(x2 + 2x + -10) + 22 = 0

Reorder the terms:
(3 + 2x + x2)(-10 + 2x + x2) + 22 = 0

Multiply (3 + 2x + x2) * (-10 + 2x + x2)
(3(-10 + 2x + x2) + 2x * (-10 + 2x + x2) + x2(-10 + 2x + x2)) + 22 = 0
((-10 * 3 + 2x * 3 + x2 * 3) + 2x * (-10 + 2x + x2) + x2(-10 + 2x + x2)) + 22 = 0
((-30 + 6x + 3x2) + 2x * (-10 + 2x + x2) + x2(-10 + 2x + x2)) + 22 = 0
(-30 + 6x + 3x2 + (-10 * 2x + 2x * 2x + x2 * 2x) + x2(-10 + 2x + x2)) + 22 = 0
(-30 + 6x + 3x2 + (-20x + 4x2 + 2x3) + x2(-10 + 2x + x2)) + 22 = 0
(-30 + 6x + 3x2 + -20x + 4x2 + 2x3 + (-10 * x2 + 2x * x2 + x2 * x2)) + 22 = 0
(-30 + 6x + 3x2 + -20x + 4x2 + 2x3 + (-10x2 + 2x3 + x4)) + 22 = 0

Reorder the terms:
(-30 + 6x + -20x + 3x2 + 4x2 + -10x2 + 2x3 + 2x3 + x4) + 22 = 0

Combine like terms: 6x + -20x = -14x
(-30 + -14x + 3x2 + 4x2 + -10x2 + 2x3 + 2x3 + x4) + 22 = 0

Combine like terms: 3x2 + 4x2 = 7x2
(-30 + -14x + 7x2 + -10x2 + 2x3 + 2x3 + x4) + 22 = 0

Combine like terms: 7x2 + -10x2 = -3x2
(-30 + -14x + -3x2 + 2x3 + 2x3 + x4) + 22 = 0

Combine like terms: 2x3 + 2x3 = 4x3
(-30 + -14x + -3x2 + 4x3 + x4) + 22 = 0

Reorder the terms:
-30 + 22 + -14x + -3x2 + 4x3 + x4 = 0

Combine like terms: -30 + 22 = -8
-8 + -14x + -3x2 + 4x3 + x4 = 0

Solving
-8 + -14x + -3x2 + 4x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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