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

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


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

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

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

Multiply (-1a + x) * (b + x)
0 = 3(-1a * (b + x) + x(b + x))
0 = 3((b * -1a + x * -1a) + x(b + x))
0 = 3((-1ab + -1ax) + x(b + x))
0 = 3(-1ab + -1ax + (b * x + x * x))
0 = 3(-1ab + -1ax + (bx + x2))
0 = 3(-1ab + -1ax + bx + x2)
0 = (-1ab * 3 + -1ax * 3 + bx * 3 + x2 * 3)
0 = (-3ab + -3ax + 3bx + 3x2)

Solving
0 = -3ab + -3ax + 3bx + 3x2

Solving for variable 'a'.

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

Add '3ab' to each side of the equation.
0 + 3ab = -3ab + -3ax + 3bx + 3ab + 3x2
Remove the zero:
3ab = -3ab + -3ax + 3bx + 3ab + 3x2

Reorder the terms:
3ab = -3ab + 3ab + -3ax + 3bx + 3x2

Combine like terms: -3ab + 3ab = 0
3ab = 0 + -3ax + 3bx + 3x2
3ab = -3ax + 3bx + 3x2

Add '3ax' to each side of the equation.
3ab + 3ax = -3ax + 3bx + 3ax + 3x2

Reorder the terms:
3ab + 3ax = -3ax + 3ax + 3bx + 3x2

Combine like terms: -3ax + 3ax = 0
3ab + 3ax = 0 + 3bx + 3x2
3ab + 3ax = 3bx + 3x2

Reorder the terms:
3ab + 3ax + -3bx + -3x2 = 3bx + -3bx + 3x2 + -3x2

Combine like terms: 3bx + -3bx = 0
3ab + 3ax + -3bx + -3x2 = 0 + 3x2 + -3x2
3ab + 3ax + -3bx + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
3ab + 3ax + -3bx + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(ab + ax + -1bx + -1x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(ab + ax + -1bx + -1x2)' equal to zero and attempt to solve:

Simplifying
ab + ax + -1bx + -1x2 = 0

Solving
ab + ax + -1bx + -1x2 = 0

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

Add 'bx' to each side of the equation.
ab + ax + -1bx + bx + -1x2 = 0 + bx

Combine like terms: -1bx + bx = 0
ab + ax + 0 + -1x2 = 0 + bx
ab + ax + -1x2 = 0 + bx
Remove the zero:
ab + ax + -1x2 = bx

Add 'x2' to each side of the equation.
ab + ax + -1x2 + x2 = bx + x2

Combine like terms: -1x2 + x2 = 0
ab + ax + 0 = bx + x2
ab + ax = bx + x2

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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