5y^2+40y-32=0

Simple and best practice solution for 5y^2+40y-32=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 5y^2+40y-32=0 equation:


Simplifying
5y2 + 40y + -32 = 0

Reorder the terms:
-32 + 40y + 5y2 = 0

Solving
-32 + 40y + 5y2 = 0

Solving for variable 'y'.

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

Divide each side by '5'.
-6.4 + 8y + y2 = 0

Move the constant term to the right:

Add '6.4' to each side of the equation.
-6.4 + 8y + 6.4 + y2 = 0 + 6.4

Reorder the terms:
-6.4 + 6.4 + 8y + y2 = 0 + 6.4

Combine like terms: -6.4 + 6.4 = 0.0
0.0 + 8y + y2 = 0 + 6.4
8y + y2 = 0 + 6.4

Combine like terms: 0 + 6.4 = 6.4
8y + y2 = 6.4

The y term is 8y.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8y + 16 + y2 = 6.4 + 16

Reorder the terms:
16 + 8y + y2 = 6.4 + 16

Combine like terms: 6.4 + 16 = 22.4
16 + 8y + y2 = 22.4

Factor a perfect square on the left side:
(y + 4)(y + 4) = 22.4

Calculate the square root of the right side: 4.732863826

Break this problem into two subproblems by setting 
(y + 4) equal to 4.732863826 and -4.732863826.

Subproblem 1

y + 4 = 4.732863826 Simplifying y + 4 = 4.732863826 Reorder the terms: 4 + y = 4.732863826 Solving 4 + y = 4.732863826 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 4.732863826 + -4 Combine like terms: 4 + -4 = 0 0 + y = 4.732863826 + -4 y = 4.732863826 + -4 Combine like terms: 4.732863826 + -4 = 0.732863826 y = 0.732863826 Simplifying y = 0.732863826

Subproblem 2

y + 4 = -4.732863826 Simplifying y + 4 = -4.732863826 Reorder the terms: 4 + y = -4.732863826 Solving 4 + y = -4.732863826 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = -4.732863826 + -4 Combine like terms: 4 + -4 = 0 0 + y = -4.732863826 + -4 y = -4.732863826 + -4 Combine like terms: -4.732863826 + -4 = -8.732863826 y = -8.732863826 Simplifying y = -8.732863826

Solution

The solution to the problem is based on the solutions from the subproblems. y = {0.732863826, -8.732863826}

See similar equations:

| 80/64 | | s+3+s-3=s+1+s+5+s+3 | | 7x-3x+7=3(x-4)+20 | | 13/15=21/X | | -43/2x^(3/2)=0 | | 2k+3-5(k+7)=0 | | 3+4x-9=6x-4+12 | | X^3-6X^2-9X-4=0 | | 6+-8/2= | | 2X-3=10-5X+2-X | | x+4-3x=4+12x | | 12=juan | | 5(3-x)-2(4-3x)=11-2(x-1) | | 2x^5y2/3x^2y^5 | | juan=gay | | d=-8-17 | | 6x-4=12-9x | | 4x-7=2x-8 | | 2x-4+12=3x-4+2 | | 3/4(2/3)+5/3= | | 6-4(x+3)=2(x-1) | | (X*x)+6x+9=0 | | 4w+4=-4 | | (x*x)-5x+4=0 | | X+x+5x-6=0 | | 3m-9=11 | | x+5+3x=49 | | 1=.30X+.65X | | 67-(3/4)x=85 | | 3000=30 | | 3/4-1/6(4x-9)=2 | | 5x-12=2x+16 |

Equations solver categories