3(X-a)(x+b)=0

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Solution for 3(X-a)(x+b)=0 equation: 


Simplifying
3(X + -1a)(x + b) = 0

Reorder the terms:
3(X + -1a)(b + x) = 0

Multiply (X + -1a) * (b + x)
3(X(b + x) + -1a * (b + x)) = 0
3((b * X + x * X) + -1a * (b + x)) = 0
3((bX + xX) + -1a * (b + x)) = 0
3(bX + xX + (b * -1a + x * -1a)) = 0
3(bX + xX + (-1ab + -1ax)) = 0

Reorder the terms:
3(-1ab + -1ax + bX + xX) = 0
3(-1ab + -1ax + bX + xX) = 0
(-1ab * 3 + -1ax * 3 + bX * 3 + xX * 3) = 0
(-3ab + -3ax + 3bX + 3xX) = 0

Solving
-3ab + -3ax + 3bX + 3xX = 0

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 = 0 + -3bX

Combine like terms: 3bX + -3bX = 0
-3ab + -3ax + 0 + 3xX = 0 + -3bX
-3ab + -3ax + 3xX = 0 + -3bX
Remove the zero:
-3ab + -3ax + 3xX = -3bX

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(-1ab + -1ax + bX + xX) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1ab + -1ax + bX + xX)' equal to zero and attempt to solve:

Simplifying
-1ab + -1ax + bX + xX = 0

Solving
-1ab + -1ax + bX + xX = 0

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

Add '-1bX' to each side of the equation.
-1ab + -1ax + bX + -1bX + xX = 0 + -1bX

Combine like terms: bX + -1bX = 0
-1ab + -1ax + 0 + xX = 0 + -1bX
-1ab + -1ax + xX = 0 + -1bX
Remove the zero:
-1ab + -1ax + xX = -1bX

Add '-1xX' to each side of the equation.
-1ab + -1ax + xX + -1xX = -1bX + -1xX

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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