x=a(a-b)+b(a+b)

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Solution for x=a(a-b)+b(a+b) equation:


Simplifying
x = a(a + -1b) + b(a + b)
x = (a * a + -1b * a) + b(a + b)

Reorder the terms:
x = (-1ab + a2) + b(a + b)
x = (-1ab + a2) + b(a + b)
x = -1ab + a2 + (a * b + b * b)
x = -1ab + a2 + (ab + b2)

Reorder the terms:
x = -1ab + ab + a2 + b2

Combine like terms: -1ab + ab = 0
x = 0 + a2 + b2
x = a2 + b2

Solving
x = a2 + b2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = a2 + b2

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