a(x-a)=b(x-b)

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


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

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

Reorder the terms:
(ax + -1a2) = b(x + -1b)
(ax + -1a2) = b(x + -1b)

Reorder the terms:
ax + -1a2 = b(-1b + x)
ax + -1a2 = (-1b * b + x * b)

Reorder the terms:
ax + -1a2 = (bx + -1b2)
ax + -1a2 = (bx + -1b2)

Solving
ax + -1a2 = bx + -1b2

Solving for variable 'a'.

Reorder the terms:
ax + -1a2 + -1bx + b2 = bx + -1bx + -1b2 + b2

Combine like terms: bx + -1bx = 0
ax + -1a2 + -1bx + b2 = 0 + -1b2 + b2
ax + -1a2 + -1bx + b2 = -1b2 + b2

Combine like terms: -1b2 + b2 = 0
ax + -1a2 + -1bx + b2 = 0

The solution to this equation could not be determined.

See similar equations:

| -3x^2+x+5=0 | | a(x*a)=b(x-b) | | x+37=-112 | | 2=11z-5z^2 | | x+24=52 | | 4y^2=3-5y | | 100x^2=36+16y^2 | | 34x=7 | | 7.38=2(3.14)r | | 5x+3+24-6x=15-1x+9 | | x^66662+7x+10=0 | | 7x^2-33x^2+26=0 | | 3c^2-10c=8 | | 5y^2=-13y-6 | | 9(6x-10)=99X | | 17=a+6+7 | | 10x^2=40 | | 30+5x+15+10x= | | 8(3x-10)=80x | | 12x-4x+5-6x-3-(2x-1)=1 | | 4w^2-9w=9 | | 83-x+5x+11= | | 3x^2-32X+128=0 | | 3x-x-5=-1 | | 6m=-3+3m | | 7x-1=-6x | | 6u+48=6u | | -11+x=26 | | 38+3x+4= | | 4x-3=3+3x | | t=-2.8+-0.4m | | a+(-17)=30 |

Equations solver categories