3(X-a)(x+b)=y

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Solution for 3(X-a)(x+b)=y equation:


Simplifying
3(X + -1a)(x + b) = y

Reorder the terms:
3(X + -1a)(b + x) = y

Multiply (X + -1a) * (b + x)
3(X(b + x) + -1a * (b + x)) = y
3((b * X + x * X) + -1a * (b + x)) = y
3((bX + xX) + -1a * (b + x)) = y
3(bX + xX + (b * -1a + x * -1a)) = y
3(bX + xX + (-1ab + -1ax)) = y

Reorder the terms:
3(-1ab + -1ax + bX + xX) = y
3(-1ab + -1ax + bX + xX) = y
(-1ab * 3 + -1ax * 3 + bX * 3 + xX * 3) = y
(-3ab + -3ax + 3bX + 3xX) = y

Solving
-3ab + -3ax + 3bX + 3xX = y

Solving for variable 'a'.

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

Add '-3bX' to each side of the equation.
-3ab + -3ax + 3bX + -3bX + 3xX = -3bX + y

Combine like terms: 3bX + -3bX = 0
-3ab + -3ax + 0 + 3xX = -3bX + y
-3ab + -3ax + 3xX = -3bX + y

Add '-3xX' to each side of the equation.
-3ab + -3ax + 3xX + -3xX = -3bX + -3xX + y

Combine like terms: 3xX + -3xX = 0
-3ab + -3ax + 0 = -3bX + -3xX + y
-3ab + -3ax = -3bX + -3xX + y

Reorder the terms:
-3ab + -3ax + 3bX + 3xX + -1y = -3bX + 3bX + -3xX + 3xX + y + -1y

Combine like terms: -3bX + 3bX = 0
-3ab + -3ax + 3bX + 3xX + -1y = 0 + -3xX + 3xX + y + -1y
-3ab + -3ax + 3bX + 3xX + -1y = -3xX + 3xX + y + -1y

Combine like terms: -3xX + 3xX = 0
-3ab + -3ax + 3bX + 3xX + -1y = 0 + y + -1y
-3ab + -3ax + 3bX + 3xX + -1y = y + -1y

Combine like terms: y + -1y = 0
-3ab + -3ax + 3bX + 3xX + -1y = 0

The solution to this equation could not be determined.

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