=(2a+b)(a^2-5ab+2b^2)

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Solution for =(2a+b)(a^2-5ab+2b^2) equation:


Simplifying
0 = (2a + b)(a2 + -5ab + 2b2)

Reorder the terms:
0 = (2a + b)(-5ab + a2 + 2b2)

Multiply (2a + b) * (-5ab + a2 + 2b2)
0 = (2a * (-5ab + a2 + 2b2) + b(-5ab + a2 + 2b2))
0 = ((-5ab * 2a + a2 * 2a + 2b2 * 2a) + b(-5ab + a2 + 2b2))

Reorder the terms:
0 = ((4ab2 + -10a2b + 2a3) + b(-5ab + a2 + 2b2))
0 = ((4ab2 + -10a2b + 2a3) + b(-5ab + a2 + 2b2))
0 = (4ab2 + -10a2b + 2a3 + (-5ab * b + a2 * b + 2b2 * b))
0 = (4ab2 + -10a2b + 2a3 + (-5ab2 + a2b + 2b3))

Reorder the terms:
0 = (4ab2 + -5ab2 + -10a2b + a2b + 2a3 + 2b3)

Combine like terms: 4ab2 + -5ab2 = -1ab2
0 = (-1ab2 + -10a2b + a2b + 2a3 + 2b3)

Combine like terms: -10a2b + a2b = -9a2b
0 = (-1ab2 + -9a2b + 2a3 + 2b3)

Solving
0 = -1ab2 + -9a2b + 2a3 + 2b3

Solving for variable 'a'.
Remove the zero:
ab2 + 9a2b + -2a3 + -2b3 = -1ab2 + -9a2b + 2a3 + 2b3 + ab2 + 9a2b + -2a3 + -2b3

Reorder the terms:
ab2 + 9a2b + -2a3 + -2b3 = -1ab2 + ab2 + -9a2b + 9a2b + 2a3 + -2a3 + 2b3 + -2b3

Combine like terms: -1ab2 + ab2 = 0
ab2 + 9a2b + -2a3 + -2b3 = 0 + -9a2b + 9a2b + 2a3 + -2a3 + 2b3 + -2b3
ab2 + 9a2b + -2a3 + -2b3 = -9a2b + 9a2b + 2a3 + -2a3 + 2b3 + -2b3

Combine like terms: -9a2b + 9a2b = 0
ab2 + 9a2b + -2a3 + -2b3 = 0 + 2a3 + -2a3 + 2b3 + -2b3
ab2 + 9a2b + -2a3 + -2b3 = 2a3 + -2a3 + 2b3 + -2b3

Combine like terms: 2a3 + -2a3 = 0
ab2 + 9a2b + -2a3 + -2b3 = 0 + 2b3 + -2b3
ab2 + 9a2b + -2a3 + -2b3 = 2b3 + -2b3

Combine like terms: 2b3 + -2b3 = 0
ab2 + 9a2b + -2a3 + -2b3 = 0

The solution to this equation could not be determined.

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