abs(z-3)=abs(z+4)

Simple and best practice solution for abs(z-3)=abs(z+4) 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 abs(z-3)=abs(z+4) equation:


Simplifying
abs(z + -3) = abs(z + 4)

Reorder the terms:
abs(-3 + z) = abs(z + 4)
(-3 * abs + z * abs) = abs(z + 4)
(-3abs + absz) = abs(z + 4)

Reorder the terms:
-3abs + absz = abs(4 + z)
-3abs + absz = (4 * abs + z * abs)
-3abs + absz = (4abs + absz)

Add '-1absz' to each side of the equation.
-3abs + absz + -1absz = 4abs + absz + -1absz

Combine like terms: absz + -1absz = 0
-3abs + 0 = 4abs + absz + -1absz
-3abs = 4abs + absz + -1absz

Combine like terms: absz + -1absz = 0
-3abs = 4abs + 0
-3abs = 4abs

Solving
-3abs = 4abs

Solving for variable 'a'.

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

Add '-4abs' to each side of the equation.
-3abs + -4abs = 4abs + -4abs

Combine like terms: -3abs + -4abs = -7abs
-7abs = 4abs + -4abs

Combine like terms: 4abs + -4abs = 0
-7abs = 0

Divide each side by '-7'.
abs = 0

Simplifying
abs = 0

The solution to this equation could not be determined.

See similar equations:

| 3(r)=-5r+13 | | 7(x-2)=-9(x+3)+33 | | 2(b-5)=10 | | -4=2(v-6)-8 | | 0=3y^3+4y^2-27y-36 | | 11X+12Y=47434 | | 5*x^3=70000 | | 2x-1=10-x | | 6(X+3)=14x-10 | | 23x+2y=120 | | 7-549347584x+67x=1000007 | | m=3/4xn | | 4ax-2=x+2a | | 4(v+2)+2=18 | | 4(n-16)-19=-19 | | 4x-3=81 | | y=x^2ln(x) | | 7n+20=20+4n | | 166048996/x^2=0 | | 3A+2(A+1)= | | 13-153=5-9 | | 500(3)=-16t^2+175t+500 | | 4a+4=16-a | | h(t)=-16t^2+175t+500 | | 5x+x^2=80 | | x^4-2*x-2=0 | | 11z=80 | | 16x+12-4x+5=26 | | 8=3y | | 11=v+14 | | 5n=-80 | | 6f-4+8-3f= |

Equations solver categories