4x^11+8x^10+2x^9+5x^8+2x^7=(2x^4+x^5)*(2x^4+x^3+4x^6)

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Solution for 4x^11+8x^10+2x^9+5x^8+2x^7=(2x^4+x^5)*(2x^4+x^3+4x^6) equation: 


Simplifying
4x11 + 8x10 + 2x9 + 5x8 + 2x7 = (2x4 + x5)(2x4 + x3 + 4x6)

Reorder the terms:
2x7 + 5x8 + 2x9 + 8x10 + 4x11 = (2x4 + x5)(2x4 + x3 + 4x6)

Reorder the terms:
2x7 + 5x8 + 2x9 + 8x10 + 4x11 = (2x4 + x5)(x3 + 2x4 + 4x6)

Multiply (2x4 + x5) * (x3 + 2x4 + 4x6)
2x7 + 5x8 + 2x9 + 8x10 + 4x11 = (2x4 * (x3 + 2x4 + 4x6) + x5(x3 + 2x4 + 4x6))
2x7 + 5x8 + 2x9 + 8x10 + 4x11 = ((x3 * 2x4 + 2x4 * 2x4 + 4x6 * 2x4) + x5(x3 + 2x4 + 4x6))
2x7 + 5x8 + 2x9 + 8x10 + 4x11 = ((2x7 + 4x8 + 8x10) + x5(x3 + 2x4 + 4x6))
2x7 + 5x8 + 2x9 + 8x10 + 4x11 = (2x7 + 4x8 + 8x10 + (x3 * x5 + 2x4 * x5 + 4x6 * x5))
2x7 + 5x8 + 2x9 + 8x10 + 4x11 = (2x7 + 4x8 + 8x10 + (x8 + 2x9 + 4x11))

Reorder the terms:
2x7 + 5x8 + 2x9 + 8x10 + 4x11 = (2x7 + 4x8 + x8 + 2x9 + 8x10 + 4x11)

Combine like terms: 4x8 + x8 = 5x8
2x7 + 5x8 + 2x9 + 8x10 + 4x11 = (2x7 + 5x8 + 2x9 + 8x10 + 4x11)

Add '-2x7' to each side of the equation.
2x7 + 5x8 + 2x9 + 8x10 + -2x7 + 4x11 = 2x7 + 5x8 + 2x9 + 8x10 + -2x7 + 4x11

Reorder the terms:
2x7 + -2x7 + 5x8 + 2x9 + 8x10 + 4x11 = 2x7 + 5x8 + 2x9 + 8x10 + -2x7 + 4x11

Combine like terms: 2x7 + -2x7 = 0
0 + 5x8 + 2x9 + 8x10 + 4x11 = 2x7 + 5x8 + 2x9 + 8x10 + -2x7 + 4x11
5x8 + 2x9 + 8x10 + 4x11 = 2x7 + 5x8 + 2x9 + 8x10 + -2x7 + 4x11

Reorder the terms:
5x8 + 2x9 + 8x10 + 4x11 = 2x7 + -2x7 + 5x8 + 2x9 + 8x10 + 4x11

Combine like terms: 2x7 + -2x7 = 0
5x8 + 2x9 + 8x10 + 4x11 = 0 + 5x8 + 2x9 + 8x10 + 4x11
5x8 + 2x9 + 8x10 + 4x11 = 5x8 + 2x9 + 8x10 + 4x11

Add '-5x8' to each side of the equation.
5x8 + 2x9 + 8x10 + -5x8 + 4x11 = 5x8 + 2x9 + 8x10 + -5x8 + 4x11

Reorder the terms:
5x8 + -5x8 + 2x9 + 8x10 + 4x11 = 5x8 + 2x9 + 8x10 + -5x8 + 4x11

Combine like terms: 5x8 + -5x8 = 0
0 + 2x9 + 8x10 + 4x11 = 5x8 + 2x9 + 8x10 + -5x8 + 4x11
2x9 + 8x10 + 4x11 = 5x8 + 2x9 + 8x10 + -5x8 + 4x11

Reorder the terms:
2x9 + 8x10 + 4x11 = 5x8 + -5x8 + 2x9 + 8x10 + 4x11

Combine like terms: 5x8 + -5x8 = 0
2x9 + 8x10 + 4x11 = 0 + 2x9 + 8x10 + 4x11
2x9 + 8x10 + 4x11 = 2x9 + 8x10 + 4x11

Add '-2x9' to each side of the equation.
2x9 + 8x10 + -2x9 + 4x11 = 2x9 + 8x10 + -2x9 + 4x11

Reorder the terms:
2x9 + -2x9 + 8x10 + 4x11 = 2x9 + 8x10 + -2x9 + 4x11

Combine like terms: 2x9 + -2x9 = 0
0 + 8x10 + 4x11 = 2x9 + 8x10 + -2x9 + 4x11
8x10 + 4x11 = 2x9 + 8x10 + -2x9 + 4x11

Reorder the terms:
8x10 + 4x11 = 2x9 + -2x9 + 8x10 + 4x11

Combine like terms: 2x9 + -2x9 = 0
8x10 + 4x11 = 0 + 8x10 + 4x11
8x10 + 4x11 = 8x10 + 4x11

Add '-8x10' to each side of the equation.
8x10 + -8x10 + 4x11 = 8x10 + -8x10 + 4x11

Combine like terms: 8x10 + -8x10 = 0
0 + 4x11 = 8x10 + -8x10 + 4x11
4x11 = 8x10 + -8x10 + 4x11

Combine like terms: 8x10 + -8x10 = 0
4x11 = 0 + 4x11
4x11 = 4x11

Add '-4x11' to each side of the equation.
4x11 + -4x11 = 4x11 + -4x11

Combine like terms: 4x11 + -4x11 = 0
0 = 4x11 + -4x11

Combine like terms: 4x11 + -4x11 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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