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

Simple and best practice solution for (x-a)(x+b)=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)=0 equation:


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

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

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

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

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

Solving for variable 'a'.

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 + x2 = 0 + -1bx

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

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

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

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

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

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

The solution to this equation could not be determined.

See similar equations:

| 12m+(4m-10)= | | 12mx(4m-10)= | | 4(x-5)-1=6x+7-4x | | -4n-2+3n=8-n+6 | | 111.375=20.25*h | | 61-2x=7x+23 | | 111.375=20.25xh | | 5(2z+1)-2(z+5)=6(z+1) | | 111.375in^3=20.25in^2xh | | 9z-2(2z-3)=6z+6-z | | 7(3+X)+2X=-6 | | -118x-9x=10x+15 | | 36y^2-ky+49= | | 5a+(7-2a)=4a-1 | | -4(52+1)=4 | | 1.4(5-0.5)=2.8 | | 8x+10=16+11x | | -2(5n+4)=4 | | -(-4v-1)-v= | | 4a+10=34 | | 3x-9=8x+21 | | 2x+y=4000 | | -3(-2x+1)=-3 | | 4(3x+5)=80 | | -2(2+5x)=-64 | | 2(2+5x)=-64 | | 2(4x+5)=90 | | 0.66x+4x+4=172 | | -2(4x+2)=-76 | | 15*b=60 | | 6x+10-5x=20 | | 6+4x+x=-4 |

Equations solver categories