2y(y+5)-144=0

Simple and best practice solution for 2y(y+5)-144=0 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 2y(y+5)-144=0 equation: 


Simplifying
2y(y + 5) + -144 = 0

Reorder the terms:
2y(5 + y) + -144 = 0
(5 * 2y + y * 2y) + -144 = 0
(10y + 2y2) + -144 = 0

Reorder the terms:
-144 + 10y + 2y2 = 0

Solving
-144 + 10y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + 5y + y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-72 + 5y + y2)' equal to zero and attempt to solve:

Simplifying
-72 + 5y + y2 = 0

Solving
-72 + 5y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '72' to each side of the equation.
-72 + 5y + 72 + y2 = 0 + 72

Reorder the terms:
-72 + 72 + 5y + y2 = 0 + 72

Combine like terms: -72 + 72 = 0
0 + 5y + y2 = 0 + 72
5y + y2 = 0 + 72

Combine like terms: 0 + 72 = 72
5y + y2 = 72

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 = 72 + 6.25

Reorder the terms:
6.25 + 5y + y2 = 72 + 6.25

Combine like terms: 72 + 6.25 = 78.25
6.25 + 5y + y2 = 78.25

Factor a perfect square on the left side:
(y + 2.5)(y + 2.5) = 78.25

Calculate the square root of the right side: 8.845903006

Break this problem into two subproblems by setting 
(y + 2.5) equal to 8.845903006 and -8.845903006.


Subproblem 1
y + 2.5 = 8.845903006

Simplifying
y + 2.5 = 8.845903006

Reorder the terms:
2.5 + y = 8.845903006

Solving
2.5 + y = 8.845903006

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 = 8.845903006 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + y = 8.845903006 + -2.5
y = 8.845903006 + -2.5

Combine like terms: 8.845903006 + -2.5 = 6.345903006
y = 6.345903006

Simplifying
y = 6.345903006


Subproblem 2
y + 2.5 = -8.845903006

Simplifying
y + 2.5 = -8.845903006

Reorder the terms:
2.5 + y = -8.845903006

Solving
2.5 + y = -8.845903006

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 = -8.845903006 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + y = -8.845903006 + -2.5
y = -8.845903006 + -2.5

Combine like terms: -8.845903006 + -2.5 = -11.345903006
y = -11.345903006

Simplifying
y = -11.345903006


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {6.345903006, -11.345903006}
Solution
y = {6.345903006, -11.345903006}

See similar equations:

| -5+2x=8-x | | 10y+15-12y+3= | | 6x+2-7=41 | | h=-16t+160t+4 | | 6x-y=26 | | 4(x-3)=48-6x | | 10(x+4)=3(x+25) | | x+3y=v | | X+9=-4+5 | | ln^2x+lnx+3=0 | | 14q+8(1-q)=1 | | 2x+4y=82 | | -56x-8=-140 | | 45y=180-90x | | 4x-4=X+7 | | 4(3s+3)=84 | | 1(3s+3)=84 | | ax+2=6x+b | | 4[(x-1)(x-1)]=28 | | 9=7z-13z-2 | | 4y+4w+3x+8y+8x-8w= | | 3x=15x(x) | | 2(8x+12y)= | | y^2+1.5y=54 | | 1000x-999=1 | | y^2-1.5y=54 | | y=25x^3+8x^2-5 | | 18x+25y=5 | | 5x+16+2x+14=180 | | 2(2y+3)=y-13 | | 2(8x-12Y)= | | 7[x+4]=10[x+1] |

Equations solver categories