4y^2+40y+40=0

Simple and best practice solution for 4y^2+40y+40=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 4y^2+40y+40=0 equation: 


Simplifying
4y2 + 40y + 40 = 0

Reorder the terms:
40 + 40y + 4y2 = 0

Solving
40 + 40y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(10 + 10y + y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(10 + 10y + y2)' equal to zero and attempt to solve:

Simplifying
10 + 10y + y2 = 0

Solving
10 + 10y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 10y + -10 + y2 = 0 + -10

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

Combine like terms: 10 + -10 = 0
0 + 10y + y2 = 0 + -10
10y + y2 = 0 + -10

Combine like terms: 0 + -10 = -10
10y + y2 = -10

The y term is 10y.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10y + 25 + y2 = -10 + 25

Reorder the terms:
25 + 10y + y2 = -10 + 25

Combine like terms: -10 + 25 = 15
25 + 10y + y2 = 15

Factor a perfect square on the left side:
(y + 5)(y + 5) = 15

Calculate the square root of the right side: 3.872983346

Break this problem into two subproblems by setting 
(y + 5) equal to 3.872983346 and -3.872983346.


Subproblem 1
y + 5 = 3.872983346

Simplifying
y + 5 = 3.872983346

Reorder the terms:
5 + y = 3.872983346

Solving
5 + y = 3.872983346

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + y = 3.872983346 + -5

Combine like terms: 5 + -5 = 0
0 + y = 3.872983346 + -5
y = 3.872983346 + -5

Combine like terms: 3.872983346 + -5 = -1.127016654
y = -1.127016654

Simplifying
y = -1.127016654


Subproblem 2
y + 5 = -3.872983346

Simplifying
y + 5 = -3.872983346

Reorder the terms:
5 + y = -3.872983346

Solving
5 + y = -3.872983346

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + y = -3.872983346 + -5

Combine like terms: 5 + -5 = 0
0 + y = -3.872983346 + -5
y = -3.872983346 + -5

Combine like terms: -3.872983346 + -5 = -8.872983346
y = -8.872983346

Simplifying
y = -8.872983346


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {-1.127016654, -8.872983346}
Solution
y = {-1.127016654, -8.872983346}

See similar equations:

| 1-4+16-64+256-1024= | | 9h=108 | | 4p+3=9p+6-5p | | x^2-x+74=0 | | v^2=8-6v | | 224.25+25s=425.50 | | =x^3-216 | | 2(x+4)+8=32 | | ln(x-1)+ln(x-2)=1 | | y=3x^2+9x-1 | | -1.3p+0.4=-1.16 | | 13x-(5-2x)=5(3x-1) | | 2+3u+1=4u+3 | | M+2m+7=3m+6 | | 15f+6n-8f= | | 4x^2+8x=96 | | y+2=4x | | 8x+12=3x+11 | | y=0.5(-2)-3 | | 5x^4+2x^2-8=0 | | 2x+2y-4=0 | | 4x+5=-2x-11 | | 13-0.7(w-9)=0.5(12w-9) | | =12x^3-52x^2-40x | | -4=8e-9e+6 | | -x+3=-x-2 | | N^2-2n-99=0 | | =4v^2+4v-15 | | 5x-15=4x-15 | | -2.5t+6.7=-1.3 | | 3p+9=15p | | 2x-7x-8=-5x+3-8 |

Equations solver categories