x^2-x(-3x-2)+(-3x-2)*(-3x-2)-3=0

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


Simplifying
x2 + -1x(-3x + -2) + (-3x + -2)(-3x + -2) + -3 = 0

Reorder the terms:
x2 + -1x(-2 + -3x) + (-3x + -2)(-3x + -2) + -3 = 0
x2 + (-2 * -1x + -3x * -1x) + (-3x + -2)(-3x + -2) + -3 = 0
x2 + (2x + 3x2) + (-3x + -2)(-3x + -2) + -3 = 0

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

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

Multiply (-2 + -3x) * (-2 + -3x)
x2 + 2x + 3x2 + (-2(-2 + -3x) + -3x * (-2 + -3x)) + -3 = 0
x2 + 2x + 3x2 + ((-2 * -2 + -3x * -2) + -3x * (-2 + -3x)) + -3 = 0
x2 + 2x + 3x2 + ((4 + 6x) + -3x * (-2 + -3x)) + -3 = 0
x2 + 2x + 3x2 + (4 + 6x + (-2 * -3x + -3x * -3x)) + -3 = 0
x2 + 2x + 3x2 + (4 + 6x + (6x + 9x2)) + -3 = 0

Combine like terms: 6x + 6x = 12x
x2 + 2x + 3x2 + (4 + 12x + 9x2) + -3 = 0

Reorder the terms:
4 + -3 + 2x + 12x + x2 + 3x2 + 9x2 = 0

Combine like terms: 4 + -3 = 1
1 + 2x + 12x + x2 + 3x2 + 9x2 = 0

Combine like terms: 2x + 12x = 14x
1 + 14x + x2 + 3x2 + 9x2 = 0

Combine like terms: x2 + 3x2 = 4x2
1 + 14x + 4x2 + 9x2 = 0

Combine like terms: 4x2 + 9x2 = 13x2
1 + 14x + 13x2 = 0

Solving
1 + 14x + 13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(1 + 13x) = 0


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

Simplifying
1 + x = 0

Solving
1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1

Subproblem 2
Set the factor '(1 + 13x)' equal to zero and attempt to solve:

Simplifying
1 + 13x = 0

Solving
1 + 13x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 13x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 13x = 0 + -1
13x = 0 + -1

Combine like terms: 0 + -1 = -1
13x = -1

Divide each side by '13'.
x = -0.07692307692

Simplifying
x = -0.07692307692
Solution
x = {-1, -0.07692307692}

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