y^2+5y-72=0

Simple and best practice solution for y^2+5y-72=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 y^2+5y-72=0 equation: 


Simplifying
y2 + 5y + -72 = 0

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

Solving
-72 + 5y + y2 = 0

Solving for variable 'y'.

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}

See similar equations:

| 14v-9v=25 | | 5-4u=13-2u | | -14x+20=0 | | -1/3x=-2/12 | | 20x^2+2x-68=0 | | 4(3b+2)=64 | | -1/3x=-2/9 | | 10xc=26 | | 36=v/2 | | x+.05x=6254 | | -2/3f-12 | | -1/3x=-3/12 | | 3y=2x+90 | | Y=x^3+3x^2-6x | | 34.47/5.31=y/59 | | 1/4x=-2/12 | | 6[x]+3=21 | | 4(2l+7)=116 | | 3=35x | | 1/2x=-2/6 | | 2x+1=3x+11 | | (g^7)3/14 | | 9a+12a=21 | | x/4-4=16 | | -1/4x=3/16 | | 134.6=897.5 | | (X^2-9)(x-5)=0 | | F(x)=(x+3)2-10 | | 5/17=5.3/x | | 10z+2=2(6x+2) | | 16x^2-64x+19=0 | | -6(2t+4)=-12 |

Equations solver categories