(a-b)*(a-b)=0

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


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

Multiply (a + -1b) * (a + -1b)
(a(a + -1b) + -1b * (a + -1b)) = 0
((a * a + -1b * a) + -1b * (a + -1b)) = 0

Reorder the terms:
((-1ab + a2) + -1b * (a + -1b)) = 0
((-1ab + a2) + -1b * (a + -1b)) = 0
(-1ab + a2 + (a * -1b + -1b * -1b)) = 0
(-1ab + a2 + (-1ab + 1b2)) = 0

Reorder the terms:
(-1ab + -1ab + a2 + 1b2) = 0

Combine like terms: -1ab + -1ab = -2ab
(-2ab + a2 + 1b2) = 0

Solving
-2ab + a2 + 1b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -1b)(a + -1b) = 0

Subproblem 1

Set the factor '(a + -1b)' equal to zero and attempt to solve: Simplifying a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = b

Subproblem 2

Set the factor '(a + -1b)' equal to zero and attempt to solve: Simplifying a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = b

Solution

a = {b, b}

See similar equations:

| 13s=65 | | 135s=65 | | 4a-(3*(2a-b))=0 | | 5*x+1=21 | | 4a-3*(2a-b)=0 | | 5*a+7=-18 | | 169=49x^2+x^2 | | 17+4(x-5)-(-3x+4)=0 | | 7*p-21=35 | | -4a-(-2a-3)=0 | | 10u*2+5u-15=0 | | -18=3*x-9 | | -4a-(2a-3)=0 | | -10e+15=95-35e | | 2(F+7)=14 | | 4a+3*(2a+b)=0 | | X^2+xy+y^2-1=0 | | (6X+8)+(7x-5)=180 | | (25-2x)(20-2x)=462 | | 8/y=3/2 | | x*p+2*p=p+1 | | sqrt(3x^2-5x+7)+sqrt(3x^2-7x+2)=3 | | 3(x+y)-2(x+y)-4x= | | 20m-5=5m-6 | | (1x+3)(2x-1)-207=0 | | 5*x=4 | | (X+3)(2x-1)-207=0 | | 15y+32=4-137 | | -30+27x=27x+2 | | y*3-2.25y*2+.815=0 | | 2x^2+5x-207=0 | | 3+3(x-1)=8-9(x-2) |

Equations solver categories