3(y+5)2y=30

Simple and best practice solution for 3(y+5)2y=30 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(y+5)2y=30 equation:


Simplifying
3(y + 5) * 2y = 30

Reorder the terms:
3(5 + y) * 2y = 30

Reorder the terms for easier multiplication:
3 * 2y(5 + y) = 30

Multiply 3 * 2
6y(5 + y) = 30
(5 * 6y + y * 6y) = 30
(30y + 6y2) = 30

Solving
30y + 6y2 = 30

Solving for variable 'y'.

Reorder the terms:
-30 + 30y + 6y2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 30y + 6y2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-5 + 5y + y2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-5 + 5y + y2)' equal to zero and attempt to solve:

Simplifying
-5 + 5y + y2 = 0

Solving
-5 + 5y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 5y + 5 + y2 = 0 + 5

Reorder the terms:
-5 + 5 + 5y + y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 5y + y2 = 0 + 5
5y + y2 = 0 + 5

Combine like terms: 0 + 5 = 5
5y + y2 = 5

The y term is 5y.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5y + 6.25 + y2 = 5 + 6.25

Reorder the terms:
6.25 + 5y + y2 = 5 + 6.25

Combine like terms: 5 + 6.25 = 11.25
6.25 + 5y + y2 = 11.25

Factor a perfect square on the left side:
(y + 2.5)(y + 2.5) = 11.25

Calculate the square root of the right side: 3.354101966

Break this problem into two subproblems by setting 
(y + 2.5) equal to 3.354101966 and -3.354101966.


Subproblem 1
y + 2.5 = 3.354101966

Simplifying
y + 2.5 = 3.354101966

Reorder the terms:
2.5 + y = 3.354101966

Solving
2.5 + y = 3.354101966

Solving for variable 'y'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + y = 3.354101966 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + y = 3.354101966 + -2.5
y = 3.354101966 + -2.5

Combine like terms: 3.354101966 + -2.5 = 0.854101966
y = 0.854101966

Simplifying
y = 0.854101966


Subproblem 2
y + 2.5 = -3.354101966

Simplifying
y + 2.5 = -3.354101966

Reorder the terms:
2.5 + y = -3.354101966

Solving
2.5 + y = -3.354101966

Solving for variable 'y'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + y = -3.354101966 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + y = -3.354101966 + -2.5
y = -3.354101966 + -2.5

Combine like terms: -3.354101966 + -2.5 = -5.854101966
y = -5.854101966

Simplifying
y = -5.854101966


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.854101966, -5.854101966}
Solution
y = {0.854101966, -5.854101966}

See similar equations:

| 3(10x+15x)+30=-30 | | v-2.59=2 | | x-21(2x)=90 | | 6(2x-1)=2x-6 | | 2y-10=18.12 | | (6x-13)=(3x+11) | | 3(6+4)+5x= | | 8+2b+6=22 | | 5.9=x-(-3.4) | | 2/3G-4=14 | | -2v+8(-7+v)=10+6v | | -10b-3b=-4b-5+1 | | 12x+5y=-25 | | 4.2x-1.6=y | | y=-3x^2+8x-3 | | 2600=2(2x-6)+2(x+3) | | -3(x+7)=-3(7-2x) | | 1.5n=n+3.25 | | 12=6+3b | | -23=4x-7 | | 18r+9=5.7r-6 | | 3X=-20-5 | | 2600=2 | | -7(5r-2)=-126 | | 3(12a-6)=5+4a | | -5+13=29+3w | | 3ab+cd=10 | | 5b+15=4b-8 | | M+2-3m=16 | | 3+6i= | | 3ab+cd=a | | 2.6r+11=4p-7 |

Equations solver categories