c(x-a)(x-b)=0

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


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

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

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

Multiply (-1a + x) * (-1b + x)
c(-1a * (-1b + x) + x(-1b + x)) = 0
c((-1b * -1a + x * -1a) + x(-1b + x)) = 0
c((1ab + -1ax) + x(-1b + x)) = 0
c(1ab + -1ax + (-1b * x + x * x)) = 0
c(1ab + -1ax + (-1bx + x2)) = 0
c(1ab + -1ax + -1bx + x2) = 0
(1ab * c + -1ax * c + -1bx * c + x2 * c) = 0
(1abc + -1acx + -1bcx + cx2) = 0

Solving
1abc + -1acx + -1bcx + cx2 = 0

Solving for variable 'a'.

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

Add 'bcx' to each side of the equation.
1abc + -1acx + -1bcx + bcx + cx2 = 0 + bcx

Combine like terms: -1bcx + bcx = 0
1abc + -1acx + 0 + cx2 = 0 + bcx
1abc + -1acx + cx2 = 0 + bcx
Remove the zero:
1abc + -1acx + cx2 = bcx

Add '-1cx2' to each side of the equation.
1abc + -1acx + cx2 + -1cx2 = bcx + -1cx2

Combine like terms: cx2 + -1cx2 = 0
1abc + -1acx + 0 = bcx + -1cx2
1abc + -1acx = bcx + -1cx2

Reorder the terms:
1abc + -1acx + -1bcx + cx2 = bcx + -1bcx + -1cx2 + cx2

Combine like terms: bcx + -1bcx = 0
1abc + -1acx + -1bcx + cx2 = 0 + -1cx2 + cx2
1abc + -1acx + -1bcx + cx2 = -1cx2 + cx2

Combine like terms: -1cx2 + cx2 = 0
1abc + -1acx + -1bcx + cx2 = 0

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


Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Add '-1c' to each side of the equation.
c + -1c = 0 + -1c
Remove the zero:
0 = -1c

Simplifying
0 = -1c

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(ab + -1ax + -1bx + x2)' equal to zero and attempt to solve:

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

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

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

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

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

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

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

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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