(x+2)(x-3)+x=4-(1-x)(3-x)(3-x)+2(x+1)2

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Solution for (x+2)(x-3)+x=4-(1-x)(3-x)(3-x)+2(x+1)2 equation: 


Simplifying
(x + 2)(x + -3) + x = 4 + -1(1 + -1x)(3 + -1x)(3 + -1x) + 2(x + 1) * 2

Reorder the terms:
(2 + x)(x + -3) + x = 4 + -1(1 + -1x)(3 + -1x)(3 + -1x) + 2(x + 1) * 2

Reorder the terms:
(2 + x)(-3 + x) + x = 4 + -1(1 + -1x)(3 + -1x)(3 + -1x) + 2(x + 1) * 2

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

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

Reorder the terms:
-6 + -1x + x + x2 = 4 + -1(1 + -1x)(3 + -1x)(3 + -1x) + 2(x + 1) * 2

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

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

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

Multiply (3 + -4x + 1x2) * (3 + -1x)
-6 + x2 = 4 + -1(3(3 + -1x) + -4x * (3 + -1x) + 1x2 * (3 + -1x)) + 2(x + 1) * 2
-6 + x2 = 4 + -1((3 * 3 + -1x * 3) + -4x * (3 + -1x) + 1x2 * (3 + -1x)) + 2(x + 1) * 2
-6 + x2 = 4 + -1((9 + -3x) + -4x * (3 + -1x) + 1x2 * (3 + -1x)) + 2(x + 1) * 2
-6 + x2 = 4 + -1(9 + -3x + (3 * -4x + -1x * -4x) + 1x2 * (3 + -1x)) + 2(x + 1) * 2
-6 + x2 = 4 + -1(9 + -3x + (-12x + 4x2) + 1x2 * (3 + -1x)) + 2(x + 1) * 2
-6 + x2 = 4 + -1(9 + -3x + -12x + 4x2 + (3 * 1x2 + -1x * 1x2)) + 2(x + 1) * 2
-6 + x2 = 4 + -1(9 + -3x + -12x + 4x2 + (3x2 + -1x3)) + 2(x + 1) * 2

Combine like terms: -3x + -12x = -15x
-6 + x2 = 4 + -1(9 + -15x + 4x2 + 3x2 + -1x3) + 2(x + 1) * 2

Combine like terms: 4x2 + 3x2 = 7x2
-6 + x2 = 4 + -1(9 + -15x + 7x2 + -1x3) + 2(x + 1) * 2
-6 + x2 = 4 + (9 * -1 + -15x * -1 + 7x2 * -1 + -1x3 * -1) + 2(x + 1) * 2
-6 + x2 = 4 + (-9 + 15x + -7x2 + 1x3) + 2(x + 1) * 2

Reorder the terms:
-6 + x2 = 4 + -9 + 15x + -7x2 + 1x3 + 2(1 + x) * 2

Reorder the terms for easier multiplication:
-6 + x2 = 4 + -9 + 15x + -7x2 + 1x3 + 2 * 2(1 + x)

Multiply 2 * 2
-6 + x2 = 4 + -9 + 15x + -7x2 + 1x3 + 4(1 + x)
-6 + x2 = 4 + -9 + 15x + -7x2 + 1x3 + (1 * 4 + x * 4)
-6 + x2 = 4 + -9 + 15x + -7x2 + 1x3 + (4 + 4x)

Reorder the terms:
-6 + x2 = 4 + -9 + 4 + 15x + 4x + -7x2 + 1x3

Combine like terms: 4 + -9 = -5
-6 + x2 = -5 + 4 + 15x + 4x + -7x2 + 1x3

Combine like terms: -5 + 4 = -1
-6 + x2 = -1 + 15x + 4x + -7x2 + 1x3

Combine like terms: 15x + 4x = 19x
-6 + x2 = -1 + 19x + -7x2 + 1x3

Solving
-6 + x2 = -1 + 19x + -7x2 + 1x3

Solving for variable 'x'.

Reorder the terms:
-6 + 1 + -19x + x2 + 7x2 + -1x3 = -1 + 19x + -7x2 + 1x3 + 1 + -19x + 7x2 + -1x3

Combine like terms: -6 + 1 = -5
-5 + -19x + x2 + 7x2 + -1x3 = -1 + 19x + -7x2 + 1x3 + 1 + -19x + 7x2 + -1x3

Combine like terms: x2 + 7x2 = 8x2
-5 + -19x + 8x2 + -1x3 = -1 + 19x + -7x2 + 1x3 + 1 + -19x + 7x2 + -1x3

Reorder the terms:
-5 + -19x + 8x2 + -1x3 = -1 + 1 + 19x + -19x + -7x2 + 7x2 + 1x3 + -1x3

Combine like terms: -1 + 1 = 0
-5 + -19x + 8x2 + -1x3 = 0 + 19x + -19x + -7x2 + 7x2 + 1x3 + -1x3
-5 + -19x + 8x2 + -1x3 = 19x + -19x + -7x2 + 7x2 + 1x3 + -1x3

Combine like terms: 19x + -19x = 0
-5 + -19x + 8x2 + -1x3 = 0 + -7x2 + 7x2 + 1x3 + -1x3
-5 + -19x + 8x2 + -1x3 = -7x2 + 7x2 + 1x3 + -1x3

Combine like terms: -7x2 + 7x2 = 0
-5 + -19x + 8x2 + -1x3 = 0 + 1x3 + -1x3
-5 + -19x + 8x2 + -1x3 = 1x3 + -1x3

Combine like terms: 1x3 + -1x3 = 0
-5 + -19x + 8x2 + -1x3 = 0

The solution to this equation could not be determined.

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