3(3+y)2y=12

Simple and best practice solution for 3(3+y)2y=12 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(3+y)2y=12 equation: 


Simplifying
3(3 + y) * 2y = 12

Reorder the terms for easier multiplication:
3 * 2y(3 + y) = 12

Multiply 3 * 2
6y(3 + y) = 12
(3 * 6y + y * 6y) = 12
(18y + 6y2) = 12

Solving
18y + 6y2 = 12

Solving for variable 'y'.

Reorder the terms:
-12 + 18y + 6y2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 18y + 6y2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + 3y + y2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-2 + 3y + y2)' equal to zero and attempt to solve:

Simplifying
-2 + 3y + y2 = 0

Solving
-2 + 3y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 3y + 2 + y2 = 0 + 2

Reorder the terms:
-2 + 2 + 3y + y2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3y + y2 = 0 + 2
3y + y2 = 0 + 2

Combine like terms: 0 + 2 = 2
3y + y2 = 2

The y term is 3y.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3y + 2.25 + y2 = 2 + 2.25

Reorder the terms:
2.25 + 3y + y2 = 2 + 2.25

Combine like terms: 2 + 2.25 = 4.25
2.25 + 3y + y2 = 4.25

Factor a perfect square on the left side:
(y + 1.5)(y + 1.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(y + 1.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
y + 1.5 = 2.061552813

Simplifying
y + 1.5 = 2.061552813

Reorder the terms:
1.5 + y = 2.061552813

Solving
1.5 + y = 2.061552813

Solving for variable 'y'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + y = 2.061552813 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + y = 2.061552813 + -1.5
y = 2.061552813 + -1.5

Combine like terms: 2.061552813 + -1.5 = 0.561552813
y = 0.561552813

Simplifying
y = 0.561552813


Subproblem 2
y + 1.5 = -2.061552813

Simplifying
y + 1.5 = -2.061552813

Reorder the terms:
1.5 + y = -2.061552813

Solving
1.5 + y = -2.061552813

Solving for variable 'y'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + y = -2.061552813 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + y = -2.061552813 + -1.5
y = -2.061552813 + -1.5

Combine like terms: -2.061552813 + -1.5 = -3.561552813
y = -3.561552813

Simplifying
y = -3.561552813


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.561552813, -3.561552813}
Solution
y = {0.561552813, -3.561552813}

See similar equations:

| y=-0.8*25+72 | | 4+8h=9h | | 14x^2-88x+192=0 | | (10x+9)=(9x+8) | | 4y+10=6y-10 | | .51m+.03=.4m-.74 | | 2x+13+10=145 | | 11.64=1.2x+3 | | 6.4(5+3)=8 | | 10-4v=-5v | | 1.2y-0.1=0.2 | | 23x+-1+45=135 | | -16t^2+32x+20=h(t) | | 4k^2-62k+30=0 | | -1+45+23=135 | | 4.4=4(k+3) | | 10(1)+10y=15 | | f(0)=3x^2+2x-4 | | a^7=5 | | m=1/2b=-19 | | 15y+40=348 | | 30v^2+88v-6=0 | | 2x+125+163=38 | | h(x)=x^2-5x-36/x^2-81 | | 530.66=3.1 | | -7=-5y+4(-y+9)-7(7-3y) | | 3.2(m-1)=8 | | 4g^2-11g+6=0 | | -11x=8x+-6 | | m=2/3b=3 | | 3x(2)=3 | | y=16x^3-250 |

Equations solver categories