y^2+30y+25=0

Simple and best practice solution for y^2+30y+25=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+30y+25=0 equation: 


Simplifying
y2 + 30y + 25 = 0

Reorder the terms:
25 + 30y + y2 = 0

Solving
25 + 30y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 30y + -25 + y2 = 0 + -25

Reorder the terms:
25 + -25 + 30y + y2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 30y + y2 = 0 + -25
30y + y2 = 0 + -25

Combine like terms: 0 + -25 = -25
30y + y2 = -25

The y term is 30y.  Take half its coefficient (15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
30y + 225 + y2 = -25 + 225

Reorder the terms:
225 + 30y + y2 = -25 + 225

Combine like terms: -25 + 225 = 200
225 + 30y + y2 = 200

Factor a perfect square on the left side:
(y + 15)(y + 15) = 200

Calculate the square root of the right side: 14.142135624

Break this problem into two subproblems by setting 
(y + 15) equal to 14.142135624 and -14.142135624.


Subproblem 1
y + 15 = 14.142135624

Simplifying
y + 15 = 14.142135624

Reorder the terms:
15 + y = 14.142135624

Solving
15 + y = 14.142135624

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + y = 14.142135624 + -15

Combine like terms: 15 + -15 = 0
0 + y = 14.142135624 + -15
y = 14.142135624 + -15

Combine like terms: 14.142135624 + -15 = -0.857864376
y = -0.857864376

Simplifying
y = -0.857864376


Subproblem 2
y + 15 = -14.142135624

Simplifying
y + 15 = -14.142135624

Reorder the terms:
15 + y = -14.142135624

Solving
15 + y = -14.142135624

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + y = -14.142135624 + -15

Combine like terms: 15 + -15 = 0
0 + y = -14.142135624 + -15
y = -14.142135624 + -15

Combine like terms: -14.142135624 + -15 = -29.142135624
y = -29.142135624

Simplifying
y = -29.142135624


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {-0.857864376, -29.142135624}

See similar equations:

| X^2-4x-12x=0 | | -3x-18=x+30 | | -6x-11=-2x+17 | | 3h^2+17h=-0 | | 24-3x=2x+14 | | -5x-20=36-x | | a^2-4a+12=0 | | 2x-21=2-5x | | (92+6)-81= | | -9+4x=11+6x | | -7x-4=3x+3 | | -x-47=3x+13 | | -4x-3=-11x+16 | | 5y+6+8x+(-2y)-(-x)= | | -x-11=-4x+13 | | ex^2+bx+c=0 | | -6x-30=3x+69 | | 48=-4x-x+3 | | 2y=5+1 | | -43+4x=17-2x | | 2x-1+7x=44 | | (2x+1)(x+1)=1 | | 2x+3(y+r)=2(x+y+3) | | (x+2)(x+i)(x-i)=0 | | -6-22=-3x+14 | | 5+5x-2x=29 | | 5y+6+8x+(-2y)-x= | | x+x+x+3+2x=23 | | -89-5x=31+3x | | 66=5x+7x+6 | | 2w-38=4(w-8) | | 7t-10=4t-1 |

Equations solver categories