3+sqrt(z-4)=sqrt(z+11)

Simple and best practice solution for 3+sqrt(z-4)=sqrt(z+11) 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 3+sqrt(z-4)=sqrt(z+11) equation:


Simplifying
3 + sqrt(z + -4) = sqrt(z + 11)

Reorder the terms:
3 + qrst(-4 + z) = sqrt(z + 11)
3 + (-4 * qrst + z * qrst) = sqrt(z + 11)
3 + (-4qrst + qrstz) = sqrt(z + 11)

Reorder the terms:
3 + -4qrst + qrstz = qrst(11 + z)
3 + -4qrst + qrstz = (11 * qrst + z * qrst)
3 + -4qrst + qrstz = (11qrst + qrstz)

Add '-1qrstz' to each side of the equation.
3 + -4qrst + qrstz + -1qrstz = 11qrst + qrstz + -1qrstz

Combine like terms: qrstz + -1qrstz = 0
3 + -4qrst + 0 = 11qrst + qrstz + -1qrstz
3 + -4qrst = 11qrst + qrstz + -1qrstz

Combine like terms: qrstz + -1qrstz = 0
3 + -4qrst = 11qrst + 0
3 + -4qrst = 11qrst

Solving
3 + -4qrst = 11qrst

Solving for variable 'q'.

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

Add '-11qrst' to each side of the equation.
3 + -4qrst + -11qrst = 11qrst + -11qrst

Combine like terms: -4qrst + -11qrst = -15qrst
3 + -15qrst = 11qrst + -11qrst

Combine like terms: 11qrst + -11qrst = 0
3 + -15qrst = 0

Add '-3' to each side of the equation.
3 + -3 + -15qrst = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -15qrst = 0 + -3
-15qrst = 0 + -3

Combine like terms: 0 + -3 = -3
-15qrst = -3

Divide each side by '-15rst'.
q = 0.2r-1s-1t-1

Simplifying
q = 0.2r-1s-1t-1

See similar equations:

| -7(x+8)-x-4=-8(x+3)-36 | | 0.4x-0.1(9-3x)=-0.6(x-5) | | 10q+30=q | | sqrt(x+34)+sqrt(x+14)=10 | | 15(v+3)-3v=4(3v+1)-12 | | 49r^2-84r+36=0 | | -(3xy-12)+2(6xy+7)= | | Y(y)-y=10 | | 545=5x-55+x | | z^2+5z+3=0 | | 4x+6x-72=90-8x | | 4y-6=-194 | | 20s^2-17s-63=0 | | -3r^2+20r-4=0 | | [5-6x]+8=3 | | 4x^2-8x+36=0 | | v=(3.14)(6)(6)(4) | | 3xy+3y= | | X+.10x=531.30 | | y-m=ym+1 | | 5=2x+3y | | 5x+5=4-10x+10 | | 30=4(2x) | | v=(3.14)(6)2(4) | | .3x-1.8=.9 | | 0.14x+0.10(10-x)=0.11(10) | | x+.05x=660.45 | | 2x^2-10x+20=0 | | ln(11x-1)=-3 | | 5/15=x/8+8 | | (3x^2-4)+(5x^2+8)= | | 47=2x+11 |

Equations solver categories