(2x+3)(2x+3)+(2x-3)(x^2-x+1)=0

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Solution for (2x+3)(2x+3)+(2x-3)(x^2-x+1)=0 equation: 


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

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

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

Multiply (3 + 2x) * (3 + 2x)
(3(3 + 2x) + 2x * (3 + 2x)) + (2x + -3)(x2 + -1x + 1) = 0
((3 * 3 + 2x * 3) + 2x * (3 + 2x)) + (2x + -3)(x2 + -1x + 1) = 0
((9 + 6x) + 2x * (3 + 2x)) + (2x + -3)(x2 + -1x + 1) = 0
(9 + 6x + (3 * 2x + 2x * 2x)) + (2x + -3)(x2 + -1x + 1) = 0
(9 + 6x + (6x + 4x2)) + (2x + -3)(x2 + -1x + 1) = 0

Combine like terms: 6x + 6x = 12x
(9 + 12x + 4x2) + (2x + -3)(x2 + -1x + 1) = 0

Reorder the terms:
9 + 12x + 4x2 + (-3 + 2x)(x2 + -1x + 1) = 0

Reorder the terms:
9 + 12x + 4x2 + (-3 + 2x)(1 + -1x + x2) = 0

Multiply (-3 + 2x) * (1 + -1x + x2)
9 + 12x + 4x2 + (-3(1 + -1x + x2) + 2x * (1 + -1x + x2)) = 0
9 + 12x + 4x2 + ((1 * -3 + -1x * -3 + x2 * -3) + 2x * (1 + -1x + x2)) = 0
9 + 12x + 4x2 + ((-3 + 3x + -3x2) + 2x * (1 + -1x + x2)) = 0
9 + 12x + 4x2 + (-3 + 3x + -3x2 + (1 * 2x + -1x * 2x + x2 * 2x)) = 0
9 + 12x + 4x2 + (-3 + 3x + -3x2 + (2x + -2x2 + 2x3)) = 0

Reorder the terms:
9 + 12x + 4x2 + (-3 + 3x + 2x + -3x2 + -2x2 + 2x3) = 0

Combine like terms: 3x + 2x = 5x
9 + 12x + 4x2 + (-3 + 5x + -3x2 + -2x2 + 2x3) = 0

Combine like terms: -3x2 + -2x2 = -5x2
9 + 12x + 4x2 + (-3 + 5x + -5x2 + 2x3) = 0

Reorder the terms:
9 + -3 + 12x + 5x + 4x2 + -5x2 + 2x3 = 0

Combine like terms: 9 + -3 = 6
6 + 12x + 5x + 4x2 + -5x2 + 2x3 = 0

Combine like terms: 12x + 5x = 17x
6 + 17x + 4x2 + -5x2 + 2x3 = 0

Combine like terms: 4x2 + -5x2 = -1x2
6 + 17x + -1x2 + 2x3 = 0

Solving
6 + 17x + -1x2 + 2x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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