y(y+3)+7(y+3)*y+3=

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


Simplifying
y(y + 3) + 7(y + 3) * y + 3 = 0

Reorder the terms:
y(3 + y) + 7(y + 3) * y + 3 = 0
(3 * y + y * y) + 7(y + 3) * y + 3 = 0
(3y + y2) + 7(y + 3) * y + 3 = 0

Reorder the terms:
3y + y2 + 7(3 + y) * y + 3 = 0

Reorder the terms for easier multiplication:
3y + y2 + 7y(3 + y) + 3 = 0
3y + y2 + (3 * 7y + y * 7y) + 3 = 0
3y + y2 + (21y + 7y2) + 3 = 0

Reorder the terms:
3 + 3y + 21y + y2 + 7y2 = 0

Combine like terms: 3y + 21y = 24y
3 + 24y + y2 + 7y2 = 0

Combine like terms: y2 + 7y2 = 8y2
3 + 24y + 8y2 = 0

Solving
3 + 24y + 8y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
0.375 + 3y + y2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 3y + -0.375 + y2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 3y + y2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 3y + y2 = 0 + -0.375
3y + y2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
3y + y2 = -0.375

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 = -0.375 + 2.25

Reorder the terms:
2.25 + 3y + y2 = -0.375 + 2.25

Combine like terms: -0.375 + 2.25 = 1.875
2.25 + 3y + y2 = 1.875

Factor a perfect square on the left side:
(y + 1.5)(y + 1.5) = 1.875

Calculate the square root of the right side: 1.369306394

Break this problem into two subproblems by setting 
(y + 1.5) equal to 1.369306394 and -1.369306394.


Subproblem 1
y + 1.5 = 1.369306394

Simplifying
y + 1.5 = 1.369306394

Reorder the terms:
1.5 + y = 1.369306394

Solving
1.5 + y = 1.369306394

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 = 1.369306394 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + y = 1.369306394 + -1.5
y = 1.369306394 + -1.5

Combine like terms: 1.369306394 + -1.5 = -0.130693606
y = -0.130693606

Simplifying
y = -0.130693606


Subproblem 2
y + 1.5 = -1.369306394

Simplifying
y + 1.5 = -1.369306394

Reorder the terms:
1.5 + y = -1.369306394

Solving
1.5 + y = -1.369306394

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 = -1.369306394 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + y = -1.369306394 + -1.5
y = -1.369306394 + -1.5

Combine like terms: -1.369306394 + -1.5 = -2.869306394
y = -2.869306394

Simplifying
y = -2.869306394


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {-0.130693606, -2.869306394}

See similar equations:

| ((20)(20))+((26)(26))=((x)(x)) | | 3x-4=6+4-x | | 6=-7j+-15 | | 3a+6-2a=-19 | | 2(x+8)-15=77 | | 3x-2=x^3-5 | | -4P+2=3p+9 | | 49.95+0.30m+18.32=95.87 | | 5(2x-13)=15 | | 18x+30y=12(25) | | 4=5(x-4)-(x-8) | | 64+9.75=p | | 4x-8=6-3x | | -8v^2=-216 | | -3(k-8)-1(k+5)=23 | | M+18=-3 | | 110+19x-4=180 | | 2m^2-4m+8=10 | | 18+p=3(p-2)-4 | | 0.7s=140 | | -8u+3=-2u-17 | | 3(r+2)-2r=4 | | 4/5x+15=1/5x-12 | | X(2x-1)=1 | | 6+5h=41 | | P-16=14 | | p/8.6+8.1=6.506 | | 36c+72=-28-6c | | 5(2x-8)-3=5(x-3)-13 | | ((a)(a))+((12.4)(12.4))=((15)(15)) | | 4m-5(3m+10)=26 | | w+14=31 |

Equations solver categories