ax=(a-b)(a-b)+bx

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Solution for ax=(a-b)(a-b)+bx equation:


Simplifying
ax = (a + -1b)(a + -1b) + bx

Multiply (a + -1b) * (a + -1b)
ax = (a(a + -1b) + -1b * (a + -1b)) + bx
ax = ((a * a + -1b * a) + -1b * (a + -1b)) + bx

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

Reorder the terms:
ax = (-1ab + -1ab + a2 + 1b2) + bx

Combine like terms: -1ab + -1ab = -2ab
ax = (-2ab + a2 + 1b2) + bx

Reorder the terms:
ax = -2ab + a2 + bx + 1b2

Solving
ax = -2ab + a2 + bx + 1b2

Solving for variable 'a'.

Reorder the terms:
2ab + ax + -1a2 + -1bx + -1b2 = -2ab + a2 + bx + 1b2 + 2ab + -1a2 + -1bx + -1b2

Reorder the terms:
2ab + ax + -1a2 + -1bx + -1b2 = -2ab + 2ab + a2 + -1a2 + bx + -1bx + 1b2 + -1b2

Combine like terms: -2ab + 2ab = 0
2ab + ax + -1a2 + -1bx + -1b2 = 0 + a2 + -1a2 + bx + -1bx + 1b2 + -1b2
2ab + ax + -1a2 + -1bx + -1b2 = a2 + -1a2 + bx + -1bx + 1b2 + -1b2

Combine like terms: a2 + -1a2 = 0
2ab + ax + -1a2 + -1bx + -1b2 = 0 + bx + -1bx + 1b2 + -1b2
2ab + ax + -1a2 + -1bx + -1b2 = bx + -1bx + 1b2 + -1b2

Combine like terms: bx + -1bx = 0
2ab + ax + -1a2 + -1bx + -1b2 = 0 + 1b2 + -1b2
2ab + ax + -1a2 + -1bx + -1b2 = 1b2 + -1b2

Combine like terms: 1b2 + -1b2 = 0
2ab + ax + -1a2 + -1bx + -1b2 = 0

The solution to this equation could not be determined.

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