4x(3x+6)(x+2)+4x-4(2x+4)(x+2)=9x+10(2x+4)(3x+6)

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Solution for 4x(3x+6)(x+2)+4x-4(2x+4)(x+2)=9x+10(2x+4)(3x+6) equation: 


Simplifying
4x(3x + 6)(x + 2) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)

Reorder the terms:
4x(6 + 3x)(x + 2) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)

Reorder the terms:
4x(6 + 3x)(2 + x) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)

Multiply (6 + 3x) * (2 + x)
4x(6(2 + x) + 3x * (2 + x)) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)
4x((2 * 6 + x * 6) + 3x * (2 + x)) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)
4x((12 + 6x) + 3x * (2 + x)) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)
4x(12 + 6x + (2 * 3x + x * 3x)) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)
4x(12 + 6x + (6x + 3x2)) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)

Combine like terms: 6x + 6x = 12x
4x(12 + 12x + 3x2) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)
(12 * 4x + 12x * 4x + 3x2 * 4x) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)
(48x + 48x2 + 12x3) + 4x + -4(2x + 4)(x + 2) = 9x + 10(2x + 4)(3x + 6)

Reorder the terms:
48x + 48x2 + 12x3 + 4x + -4(4 + 2x)(x + 2) = 9x + 10(2x + 4)(3x + 6)

Reorder the terms:
48x + 48x2 + 12x3 + 4x + -4(4 + 2x)(2 + x) = 9x + 10(2x + 4)(3x + 6)

Multiply (4 + 2x) * (2 + x)
48x + 48x2 + 12x3 + 4x + -4(4(2 + x) + 2x * (2 + x)) = 9x + 10(2x + 4)(3x + 6)
48x + 48x2 + 12x3 + 4x + -4((2 * 4 + x * 4) + 2x * (2 + x)) = 9x + 10(2x + 4)(3x + 6)
48x + 48x2 + 12x3 + 4x + -4((8 + 4x) + 2x * (2 + x)) = 9x + 10(2x + 4)(3x + 6)
48x + 48x2 + 12x3 + 4x + -4(8 + 4x + (2 * 2x + x * 2x)) = 9x + 10(2x + 4)(3x + 6)
48x + 48x2 + 12x3 + 4x + -4(8 + 4x + (4x + 2x2)) = 9x + 10(2x + 4)(3x + 6)

Combine like terms: 4x + 4x = 8x
48x + 48x2 + 12x3 + 4x + -4(8 + 8x + 2x2) = 9x + 10(2x + 4)(3x + 6)
48x + 48x2 + 12x3 + 4x + (8 * -4 + 8x * -4 + 2x2 * -4) = 9x + 10(2x + 4)(3x + 6)
48x + 48x2 + 12x3 + 4x + (-32 + -32x + -8x2) = 9x + 10(2x + 4)(3x + 6)

Reorder the terms:
-32 + 48x + 4x + -32x + 48x2 + -8x2 + 12x3 = 9x + 10(2x + 4)(3x + 6)

Combine like terms: 48x + 4x = 52x
-32 + 52x + -32x + 48x2 + -8x2 + 12x3 = 9x + 10(2x + 4)(3x + 6)

Combine like terms: 52x + -32x = 20x
-32 + 20x + 48x2 + -8x2 + 12x3 = 9x + 10(2x + 4)(3x + 6)

Combine like terms: 48x2 + -8x2 = 40x2
-32 + 20x + 40x2 + 12x3 = 9x + 10(2x + 4)(3x + 6)

Reorder the terms:
-32 + 20x + 40x2 + 12x3 = 9x + 10(4 + 2x)(3x + 6)

Reorder the terms:
-32 + 20x + 40x2 + 12x3 = 9x + 10(4 + 2x)(6 + 3x)

Multiply (4 + 2x) * (6 + 3x)
-32 + 20x + 40x2 + 12x3 = 9x + 10(4(6 + 3x) + 2x * (6 + 3x))
-32 + 20x + 40x2 + 12x3 = 9x + 10((6 * 4 + 3x * 4) + 2x * (6 + 3x))
-32 + 20x + 40x2 + 12x3 = 9x + 10((24 + 12x) + 2x * (6 + 3x))
-32 + 20x + 40x2 + 12x3 = 9x + 10(24 + 12x + (6 * 2x + 3x * 2x))
-32 + 20x + 40x2 + 12x3 = 9x + 10(24 + 12x + (12x + 6x2))

Combine like terms: 12x + 12x = 24x
-32 + 20x + 40x2 + 12x3 = 9x + 10(24 + 24x + 6x2)
-32 + 20x + 40x2 + 12x3 = 9x + (24 * 10 + 24x * 10 + 6x2 * 10)
-32 + 20x + 40x2 + 12x3 = 9x + (240 + 240x + 60x2)

Reorder the terms:
-32 + 20x + 40x2 + 12x3 = 240 + 9x + 240x + 60x2

Combine like terms: 9x + 240x = 249x
-32 + 20x + 40x2 + 12x3 = 240 + 249x + 60x2

Solving
-32 + 20x + 40x2 + 12x3 = 240 + 249x + 60x2

Solving for variable 'x'.

Reorder the terms:
-32 + -240 + 20x + -249x + 40x2 + -60x2 + 12x3 = 240 + 249x + 60x2 + -240 + -249x + -60x2

Combine like terms: -32 + -240 = -272
-272 + 20x + -249x + 40x2 + -60x2 + 12x3 = 240 + 249x + 60x2 + -240 + -249x + -60x2

Combine like terms: 20x + -249x = -229x
-272 + -229x + 40x2 + -60x2 + 12x3 = 240 + 249x + 60x2 + -240 + -249x + -60x2

Combine like terms: 40x2 + -60x2 = -20x2
-272 + -229x + -20x2 + 12x3 = 240 + 249x + 60x2 + -240 + -249x + -60x2

Reorder the terms:
-272 + -229x + -20x2 + 12x3 = 240 + -240 + 249x + -249x + 60x2 + -60x2

Combine like terms: 240 + -240 = 0
-272 + -229x + -20x2 + 12x3 = 0 + 249x + -249x + 60x2 + -60x2
-272 + -229x + -20x2 + 12x3 = 249x + -249x + 60x2 + -60x2

Combine like terms: 249x + -249x = 0
-272 + -229x + -20x2 + 12x3 = 0 + 60x2 + -60x2
-272 + -229x + -20x2 + 12x3 = 60x2 + -60x2

Combine like terms: 60x2 + -60x2 = 0
-272 + -229x + -20x2 + 12x3 = 0

The solution to this equation could not be determined.

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