sqrt(3y+13)=sqrt(y+7)

Simple and best practice solution for sqrt(3y+13)=sqrt(y+7) 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 sqrt(3y+13)=sqrt(y+7) equation:


Simplifying
sqrt(3y + 13) = sqrt(y + 7)

Reorder the terms:
qrst(13 + 3y) = sqrt(y + 7)
(13 * qrst + 3y * qrst) = sqrt(y + 7)
(13qrst + 3qrsty) = sqrt(y + 7)

Reorder the terms:
13qrst + 3qrsty = qrst(7 + y)
13qrst + 3qrsty = (7 * qrst + y * qrst)
13qrst + 3qrsty = (7qrst + qrsty)

Solving
13qrst + 3qrsty = 7qrst + qrsty

Solving for variable 'q'.

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

Add '-7qrst' to each side of the equation.
13qrst + -7qrst + 3qrsty = 7qrst + -7qrst + qrsty

Combine like terms: 13qrst + -7qrst = 6qrst
6qrst + 3qrsty = 7qrst + -7qrst + qrsty

Combine like terms: 7qrst + -7qrst = 0
6qrst + 3qrsty = 0 + qrsty
6qrst + 3qrsty = qrsty

Add '-1qrsty' to each side of the equation.
6qrst + 3qrsty + -1qrsty = qrsty + -1qrsty

Combine like terms: 3qrsty + -1qrsty = 2qrsty
6qrst + 2qrsty = qrsty + -1qrsty

Combine like terms: qrsty + -1qrsty = 0
6qrst + 2qrsty = 0

Factor out the Greatest Common Factor (GCF), '2qrst'.
2qrst(3 + y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Add '-1y' to each side of the equation. y + -1y = -3 + -1y Combine like terms: y + -1y = 0 0 = -3 + -1y Simplifying 0 = -3 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| sqrt(8y+1)=sqrt(4y+9) | | sqrt(2y-1)=sqrt(5y-10) | | 3x^2+10x-14=0 | | 2x-5+3x=7x+5x-5 | | 4y+5-4y-5=0 | | sqrt(3y+13)=sqrt(y+5) | | X+(X(0.06))=1080.03 | | sqrt(8u+3)=sqrt(6u+13) | | 42-5x=15x+62 | | 16/y-2=4 | | (6y^3-4y^2)/2y^2 | | 6-8x=-27 | | x^2+.1x-.3=0 | | 3x^3-15x^2+96x-234=0 | | 22=-11d | | V+-10=-3 | | 4y+x-5=0 | | 12x+18=10x+18 | | 0.07x+4.74=4.89 | | 7x^3+84x^2+224x=0 | | 19x/3=0 | | -4+15=16x-2-15x | | 19+3x=0 | | [b-17/4]=[3b/4-6] | | 3/4/1/20 | | 4/9x=16/27 | | 72-15x=15x | | -36+8y=2y | | b-17/4=3b/4-6 | | 2x+3(0)=5x-(0) | | 45-8x=12 | | 4m+5n+8m+6n= |

Equations solver categories