(x*x-9)(x+1)+(x+3)(x*x-1)=0

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Solution for (x*x-9)(x+1)+(x+3)(x*x-1)=0 equation: 


Simplifying
(x * x + -9)(x + 1) + (x + 3)(x * x + -1) = 0

Multiply x * x
(x2 + -9)(x + 1) + (x + 3)(x * x + -1) = 0

Reorder the terms:
(-9 + x2)(x + 1) + (x + 3)(x * x + -1) = 0

Reorder the terms:
(-9 + x2)(1 + x) + (x + 3)(x * x + -1) = 0

Multiply (-9 + x2) * (1 + x)
(-9(1 + x) + x2(1 + x)) + (x + 3)(x * x + -1) = 0
((1 * -9 + x * -9) + x2(1 + x)) + (x + 3)(x * x + -1) = 0
((-9 + -9x) + x2(1 + x)) + (x + 3)(x * x + -1) = 0
(-9 + -9x + (1 * x2 + x * x2)) + (x + 3)(x * x + -1) = 0
(-9 + -9x + (1x2 + x3)) + (x + 3)(x * x + -1) = 0
(-9 + -9x + 1x2 + x3) + (x + 3)(x * x + -1) = 0

Reorder the terms:
-9 + -9x + 1x2 + x3 + (3 + x)(x * x + -1) = 0

Multiply x * x
-9 + -9x + 1x2 + x3 + (3 + x)(x2 + -1) = 0

Reorder the terms:
-9 + -9x + 1x2 + x3 + (3 + x)(-1 + x2) = 0

Multiply (3 + x) * (-1 + x2)
-9 + -9x + 1x2 + x3 + (3(-1 + x2) + x(-1 + x2)) = 0
-9 + -9x + 1x2 + x3 + ((-1 * 3 + x2 * 3) + x(-1 + x2)) = 0
-9 + -9x + 1x2 + x3 + ((-3 + 3x2) + x(-1 + x2)) = 0
-9 + -9x + 1x2 + x3 + (-3 + 3x2 + (-1 * x + x2 * x)) = 0
-9 + -9x + 1x2 + x3 + (-3 + 3x2 + (-1x + x3)) = 0

Reorder the terms:
-9 + -9x + 1x2 + x3 + (-3 + -1x + 3x2 + x3) = 0
-9 + -9x + 1x2 + x3 + (-3 + -1x + 3x2 + x3) = 0

Reorder the terms:
-9 + -3 + -9x + -1x + 1x2 + 3x2 + x3 + x3 = 0

Combine like terms: -9 + -3 = -12
-12 + -9x + -1x + 1x2 + 3x2 + x3 + x3 = 0

Combine like terms: -9x + -1x = -10x
-12 + -10x + 1x2 + 3x2 + x3 + x3 = 0

Combine like terms: 1x2 + 3x2 = 4x2
-12 + -10x + 4x2 + x3 + x3 = 0

Combine like terms: x3 + x3 = 2x3
-12 + -10x + 4x2 + 2x3 = 0

Solving
-12 + -10x + 4x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -5x + 2x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6 + -5x + 2x2 + x3)' equal to zero and attempt to solve:

Simplifying
-6 + -5x + 2x2 + x3 = 0

Solving
-6 + -5x + 2x2 + 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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