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

Simple and best practice solution for (x-a)(x-b)+c=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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


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

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

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

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

Reorder the terms:
1ab + -1ax + -1bx + c + x2 = 0

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

Solving for variable 'a'.

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

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

Reorder the terms:
1ab + -1ax + -1bx + bx + c + x2 = 0 + bx

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

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

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

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

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

Reorder the terms:
1ab + -1ax + -1bx + c + x2 = bx + -1bx + -1c + c + -1x2 + x2

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

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

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

The solution to this equation could not be determined.

See similar equations:

| -3-5n=-8 | | -1-6n=41 | | 5w+4=9 | | (6+m)/2m=4/2 | | 3+4t=3 | | -7m-4=-25 | | 4d+4=44 | | 9+3b=-21 | | -2d+6=16 | | -6n+4=-2 | | 2t+8=32 | | 24x/52x=25*30x | | .9x-.7(3-x)=5.1 | | 9+7d=44 | | 3x-1*5=55 | | -5+9=44 | | -6d+6=42 | | 6a-10=-46 | | 6+7a=69 | | 8+6d=68 | | 7k+7=42 | | 2+4d=14 | | 2b+9=33 | | 2x+12=8x+12 | | -81x^4+1=0 | | 2x+13=8x+12 | | 6.666666665-80= | | 3b+2=32 | | 3m+6=30 | | 2m-4=-16 | | 8+4n=52 | | 10+5w=55 |

Equations solver categories