4(x^2-2x+4)(x^3+8)+5(x+2)(x^3+8)=48(x+2)(x^2-2x+4)

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Solution for 4(x^2-2x+4)(x^3+8)+5(x+2)(x^3+8)=48(x+2)(x^2-2x+4) equation:


Simplifying
4(x2 + -2x + 4)(x3 + 8) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)

Reorder the terms:
4(4 + -2x + x2)(x3 + 8) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)

Reorder the terms:
4(4 + -2x + x2)(8 + x3) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)

Multiply (4 + -2x + x2) * (8 + x3)
4(4(8 + x3) + -2x * (8 + x3) + x2(8 + x3)) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)
4((8 * 4 + x3 * 4) + -2x * (8 + x3) + x2(8 + x3)) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)
4((32 + 4x3) + -2x * (8 + x3) + x2(8 + x3)) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)
4(32 + 4x3 + (8 * -2x + x3 * -2x) + x2(8 + x3)) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)
4(32 + 4x3 + (-16x + -2x4) + x2(8 + x3)) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)
4(32 + 4x3 + -16x + -2x4 + (8 * x2 + x3 * x2)) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)
4(32 + 4x3 + -16x + -2x4 + (8x2 + x5)) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)

Reorder the terms:
4(32 + -16x + 8x2 + 4x3 + -2x4 + x5) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)
4(32 + -16x + 8x2 + 4x3 + -2x4 + x5) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)
(32 * 4 + -16x * 4 + 8x2 * 4 + 4x3 * 4 + -2x4 * 4 + x5 * 4) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)
(128 + -64x + 32x2 + 16x3 + -8x4 + 4x5) + 5(x + 2)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)

Reorder the terms:
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + 5(2 + x)(x3 + 8) = 48(x + 2)(x2 + -2x + 4)

Reorder the terms:
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + 5(2 + x)(8 + x3) = 48(x + 2)(x2 + -2x + 4)

Multiply (2 + x) * (8 + x3)
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + 5(2(8 + x3) + x(8 + x3)) = 48(x + 2)(x2 + -2x + 4)
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + 5((8 * 2 + x3 * 2) + x(8 + x3)) = 48(x + 2)(x2 + -2x + 4)
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + 5((16 + 2x3) + x(8 + x3)) = 48(x + 2)(x2 + -2x + 4)
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + 5(16 + 2x3 + (8 * x + x3 * x)) = 48(x + 2)(x2 + -2x + 4)
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + 5(16 + 2x3 + (8x + x4)) = 48(x + 2)(x2 + -2x + 4)

Reorder the terms:
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + 5(16 + 8x + 2x3 + x4) = 48(x + 2)(x2 + -2x + 4)
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + 5(16 + 8x + 2x3 + x4) = 48(x + 2)(x2 + -2x + 4)
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + (16 * 5 + 8x * 5 + 2x3 * 5 + x4 * 5) = 48(x + 2)(x2 + -2x + 4)
128 + -64x + 32x2 + 16x3 + -8x4 + 4x5 + (80 + 40x + 10x3 + 5x4) = 48(x + 2)(x2 + -2x + 4)

Reorder the terms:
128 + 80 + -64x + 40x + 32x2 + 16x3 + 10x3 + -8x4 + 5x4 + 4x5 = 48(x + 2)(x2 + -2x + 4)

Combine like terms: 128 + 80 = 208
208 + -64x + 40x + 32x2 + 16x3 + 10x3 + -8x4 + 5x4 + 4x5 = 48(x + 2)(x2 + -2x + 4)

Combine like terms: -64x + 40x = -24x
208 + -24x + 32x2 + 16x3 + 10x3 + -8x4 + 5x4 + 4x5 = 48(x + 2)(x2 + -2x + 4)

Combine like terms: 16x3 + 10x3 = 26x3
208 + -24x + 32x2 + 26x3 + -8x4 + 5x4 + 4x5 = 48(x + 2)(x2 + -2x + 4)

Combine like terms: -8x4 + 5x4 = -3x4
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(x + 2)(x2 + -2x + 4)

Reorder the terms:
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(2 + x)(x2 + -2x + 4)

Reorder the terms:
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(2 + x)(4 + -2x + x2)

Multiply (2 + x) * (4 + -2x + x2)
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(2(4 + -2x + x2) + x(4 + -2x + x2))
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48((4 * 2 + -2x * 2 + x2 * 2) + x(4 + -2x + x2))
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48((8 + -4x + 2x2) + x(4 + -2x + x2))
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(8 + -4x + 2x2 + (4 * x + -2x * x + x2 * x))
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(8 + -4x + 2x2 + (4x + -2x2 + x3))

Reorder the terms:
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(8 + -4x + 4x + 2x2 + -2x2 + x3)

Combine like terms: -4x + 4x = 0
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(8 + 0 + 2x2 + -2x2 + x3)
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(8 + 2x2 + -2x2 + x3)

Combine like terms: 2x2 + -2x2 = 0
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(8 + 0 + x3)
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 48(8 + x3)
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = (8 * 48 + x3 * 48)
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = (384 + 48x3)

Solving
208 + -24x + 32x2 + 26x3 + -3x4 + 4x5 = 384 + 48x3

Solving for variable 'x'.

Reorder the terms:
208 + -384 + -24x + 32x2 + 26x3 + -48x3 + -3x4 + 4x5 = 384 + 48x3 + -384 + -48x3

Combine like terms: 208 + -384 = -176
-176 + -24x + 32x2 + 26x3 + -48x3 + -3x4 + 4x5 = 384 + 48x3 + -384 + -48x3

Combine like terms: 26x3 + -48x3 = -22x3
-176 + -24x + 32x2 + -22x3 + -3x4 + 4x5 = 384 + 48x3 + -384 + -48x3

Reorder the terms:
-176 + -24x + 32x2 + -22x3 + -3x4 + 4x5 = 384 + -384 + 48x3 + -48x3

Combine like terms: 384 + -384 = 0
-176 + -24x + 32x2 + -22x3 + -3x4 + 4x5 = 0 + 48x3 + -48x3
-176 + -24x + 32x2 + -22x3 + -3x4 + 4x5 = 48x3 + -48x3

Combine like terms: 48x3 + -48x3 = 0
-176 + -24x + 32x2 + -22x3 + -3x4 + 4x5 = 0

The solution to this equation could not be determined.

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