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

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


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

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

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

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

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

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

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

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

Multiply (4 + x) * (4 + x)
-4 + -1x + x2 = 3(4(4 + x) + x(4 + x))(-3 + x) + -1(x + 2)
-4 + -1x + x2 = 3((4 * 4 + x * 4) + x(4 + x))(-3 + x) + -1(x + 2)
-4 + -1x + x2 = 3((16 + 4x) + x(4 + x))(-3 + x) + -1(x + 2)
-4 + -1x + x2 = 3(16 + 4x + (4 * x + x * x))(-3 + x) + -1(x + 2)
-4 + -1x + x2 = 3(16 + 4x + (4x + x2))(-3 + x) + -1(x + 2)

Combine like terms: 4x + 4x = 8x
-4 + -1x + x2 = 3(16 + 8x + x2)(-3 + x) + -1(x + 2)

Multiply (16 + 8x + x2) * (-3 + x)
-4 + -1x + x2 = 3(16(-3 + x) + 8x * (-3 + x) + x2(-3 + x)) + -1(x + 2)
-4 + -1x + x2 = 3((-3 * 16 + x * 16) + 8x * (-3 + x) + x2(-3 + x)) + -1(x + 2)
-4 + -1x + x2 = 3((-48 + 16x) + 8x * (-3 + x) + x2(-3 + x)) + -1(x + 2)
-4 + -1x + x2 = 3(-48 + 16x + (-3 * 8x + x * 8x) + x2(-3 + x)) + -1(x + 2)
-4 + -1x + x2 = 3(-48 + 16x + (-24x + 8x2) + x2(-3 + x)) + -1(x + 2)
-4 + -1x + x2 = 3(-48 + 16x + -24x + 8x2 + (-3 * x2 + x * x2)) + -1(x + 2)
-4 + -1x + x2 = 3(-48 + 16x + -24x + 8x2 + (-3x2 + x3)) + -1(x + 2)

Combine like terms: 16x + -24x = -8x
-4 + -1x + x2 = 3(-48 + -8x + 8x2 + -3x2 + x3) + -1(x + 2)

Combine like terms: 8x2 + -3x2 = 5x2
-4 + -1x + x2 = 3(-48 + -8x + 5x2 + x3) + -1(x + 2)
-4 + -1x + x2 = (-48 * 3 + -8x * 3 + 5x2 * 3 + x3 * 3) + -1(x + 2)
-4 + -1x + x2 = (-144 + -24x + 15x2 + 3x3) + -1(x + 2)

Reorder the terms:
-4 + -1x + x2 = -144 + -24x + 15x2 + 3x3 + -1(2 + x)
-4 + -1x + x2 = -144 + -24x + 15x2 + 3x3 + (2 * -1 + x * -1)
-4 + -1x + x2 = -144 + -24x + 15x2 + 3x3 + (-2 + -1x)

Reorder the terms:
-4 + -1x + x2 = -144 + -2 + -24x + -1x + 15x2 + 3x3

Combine like terms: -144 + -2 = -146
-4 + -1x + x2 = -146 + -24x + -1x + 15x2 + 3x3

Combine like terms: -24x + -1x = -25x
-4 + -1x + x2 = -146 + -25x + 15x2 + 3x3

Solving
-4 + -1x + x2 = -146 + -25x + 15x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
-4 + 146 + -1x + 25x + x2 + -15x2 + -3x3 = -146 + -25x + 15x2 + 3x3 + 146 + 25x + -15x2 + -3x3

Combine like terms: -4 + 146 = 142
142 + -1x + 25x + x2 + -15x2 + -3x3 = -146 + -25x + 15x2 + 3x3 + 146 + 25x + -15x2 + -3x3

Combine like terms: -1x + 25x = 24x
142 + 24x + x2 + -15x2 + -3x3 = -146 + -25x + 15x2 + 3x3 + 146 + 25x + -15x2 + -3x3

Combine like terms: x2 + -15x2 = -14x2
142 + 24x + -14x2 + -3x3 = -146 + -25x + 15x2 + 3x3 + 146 + 25x + -15x2 + -3x3

Reorder the terms:
142 + 24x + -14x2 + -3x3 = -146 + 146 + -25x + 25x + 15x2 + -15x2 + 3x3 + -3x3

Combine like terms: -146 + 146 = 0
142 + 24x + -14x2 + -3x3 = 0 + -25x + 25x + 15x2 + -15x2 + 3x3 + -3x3
142 + 24x + -14x2 + -3x3 = -25x + 25x + 15x2 + -15x2 + 3x3 + -3x3

Combine like terms: -25x + 25x = 0
142 + 24x + -14x2 + -3x3 = 0 + 15x2 + -15x2 + 3x3 + -3x3
142 + 24x + -14x2 + -3x3 = 15x2 + -15x2 + 3x3 + -3x3

Combine like terms: 15x2 + -15x2 = 0
142 + 24x + -14x2 + -3x3 = 0 + 3x3 + -3x3
142 + 24x + -14x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
142 + 24x + -14x2 + -3x3 = 0

The solution to this equation could not be determined.

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