(x+3)(x+3)-(x-1)(x+5)(x+3)+(x-5)(x+5)3=0

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Solution for (x+3)(x+3)-(x-1)(x+5)(x+3)+(x-5)(x+5)3=0 equation: 


Simplifying
(x + 3)(x + 3) + -1(x + -1)(x + 5)(x + 3) + (x + -5)(x + 5) * 3 = 0

Reorder the terms:
(3 + x)(x + 3) + -1(x + -1)(x + 5)(x + 3) + (x + -5)(x + 5) * 3 = 0

Reorder the terms:
(3 + x)(3 + x) + -1(x + -1)(x + 5)(x + 3) + (x + -5)(x + 5) * 3 = 0

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) + -1(x + -1)(x + 5)(x + 3) + (x + -5)(x + 5) * 3 = 0
((3 * 3 + x * 3) + x(3 + x)) + -1(x + -1)(x + 5)(x + 3) + (x + -5)(x + 5) * 3 = 0
((9 + 3x) + x(3 + x)) + -1(x + -1)(x + 5)(x + 3) + (x + -5)(x + 5) * 3 = 0
(9 + 3x + (3 * x + x * x)) + -1(x + -1)(x + 5)(x + 3) + (x + -5)(x + 5) * 3 = 0
(9 + 3x + (3x + x2)) + -1(x + -1)(x + 5)(x + 3) + (x + -5)(x + 5) * 3 = 0

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) + -1(x + -1)(x + 5)(x + 3) + (x + -5)(x + 5) * 3 = 0

Reorder the terms:
9 + 6x + x2 + -1(-1 + x)(x + 5)(x + 3) + (x + -5)(x + 5) * 3 = 0

Reorder the terms:
9 + 6x + x2 + -1(-1 + x)(5 + x)(x + 3) + (x + -5)(x + 5) * 3 = 0

Reorder the terms:
9 + 6x + x2 + -1(-1 + x)(5 + x)(3 + x) + (x + -5)(x + 5) * 3 = 0

Multiply (-1 + x) * (5 + x)
9 + 6x + x2 + -1(-1(5 + x) + x(5 + x))(3 + x) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + -1((5 * -1 + x * -1) + x(5 + x))(3 + x) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + -1((-5 + -1x) + x(5 + x))(3 + x) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + -1(-5 + -1x + (5 * x + x * x))(3 + x) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + -1(-5 + -1x + (5x + x2))(3 + x) + (x + -5)(x + 5) * 3 = 0

Combine like terms: -1x + 5x = 4x
9 + 6x + x2 + -1(-5 + 4x + x2)(3 + x) + (x + -5)(x + 5) * 3 = 0

Multiply (-5 + 4x + x2) * (3 + x)
9 + 6x + x2 + -1(-5(3 + x) + 4x * (3 + x) + x2(3 + x)) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + -1((3 * -5 + x * -5) + 4x * (3 + x) + x2(3 + x)) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + -1((-15 + -5x) + 4x * (3 + x) + x2(3 + x)) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + -1(-15 + -5x + (3 * 4x + x * 4x) + x2(3 + x)) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + -1(-15 + -5x + (12x + 4x2) + x2(3 + x)) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + -1(-15 + -5x + 12x + 4x2 + (3 * x2 + x * x2)) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + -1(-15 + -5x + 12x + 4x2 + (3x2 + x3)) + (x + -5)(x + 5) * 3 = 0

Combine like terms: -5x + 12x = 7x
9 + 6x + x2 + -1(-15 + 7x + 4x2 + 3x2 + x3) + (x + -5)(x + 5) * 3 = 0

Combine like terms: 4x2 + 3x2 = 7x2
9 + 6x + x2 + -1(-15 + 7x + 7x2 + x3) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + (-15 * -1 + 7x * -1 + 7x2 * -1 + x3 * -1) + (x + -5)(x + 5) * 3 = 0
9 + 6x + x2 + (15 + -7x + -7x2 + -1x3) + (x + -5)(x + 5) * 3 = 0

Reorder the terms:
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + (-5 + x)(x + 5) * 3 = 0

Reorder the terms:
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + (-5 + x)(5 + x) * 3 = 0

Reorder the terms for easier multiplication:
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + 3(-5 + x)(5 + x) = 0

Multiply (-5 + x) * (5 + x)
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + 3(-5(5 + x) + x(5 + x)) = 0
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + 3((5 * -5 + x * -5) + x(5 + x)) = 0
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + 3((-25 + -5x) + x(5 + x)) = 0
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + 3(-25 + -5x + (5 * x + x * x)) = 0
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + 3(-25 + -5x + (5x + x2)) = 0

Combine like terms: -5x + 5x = 0
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + 3(-25 + 0 + x2) = 0
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + 3(-25 + x2) = 0
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + (-25 * 3 + x2 * 3) = 0
9 + 6x + x2 + 15 + -7x + -7x2 + -1x3 + (-75 + 3x2) = 0

Reorder the terms:
9 + 15 + -75 + 6x + -7x + x2 + -7x2 + 3x2 + -1x3 = 0

Combine like terms: 9 + 15 = 24
24 + -75 + 6x + -7x + x2 + -7x2 + 3x2 + -1x3 = 0

Combine like terms: 24 + -75 = -51
-51 + 6x + -7x + x2 + -7x2 + 3x2 + -1x3 = 0

Combine like terms: 6x + -7x = -1x
-51 + -1x + x2 + -7x2 + 3x2 + -1x3 = 0

Combine like terms: x2 + -7x2 = -6x2
-51 + -1x + -6x2 + 3x2 + -1x3 = 0

Combine like terms: -6x2 + 3x2 = -3x2
-51 + -1x + -3x2 + -1x3 = 0

Solving
-51 + -1x + -3x2 + -1x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(51 + x + 3x2 + x3) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(51 + x + 3x2 + x3)' equal to zero and attempt to solve:

Simplifying
51 + x + 3x2 + x3 = 0

Solving
51 + x + 3x2 + 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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