y^2-10y+25=2y+5

Simple and best practice solution for y^2-10y+25=2y+5 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^2-10y+25=2y+5 equation: 


Simplifying
y2 + -10y + 25 = 2y + 5

Reorder the terms:
25 + -10y + y2 = 2y + 5

Reorder the terms:
25 + -10y + y2 = 5 + 2y

Solving
25 + -10y + y2 = 5 + 2y

Solving for variable 'y'.

Reorder the terms:
25 + -5 + -10y + -2y + y2 = 5 + 2y + -5 + -2y

Combine like terms: 25 + -5 = 20
20 + -10y + -2y + y2 = 5 + 2y + -5 + -2y

Combine like terms: -10y + -2y = -12y
20 + -12y + y2 = 5 + 2y + -5 + -2y

Reorder the terms:
20 + -12y + y2 = 5 + -5 + 2y + -2y

Combine like terms: 5 + -5 = 0
20 + -12y + y2 = 0 + 2y + -2y
20 + -12y + y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
20 + -12y + y2 = 0

Factor a trinomial.
(2 + -1y)(10 + -1y) = 0


Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve:

Simplifying
10 + -1y = 0

Solving
10 + -1y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10
Solution
y = {2, 10}

See similar equations:

| 12x+3=14x+23 | | X^2+10x+8=-5 | | -9+6x=21+7x | | -5=-4-5 | | 1-4y=5 | | x+5=-35 | | y^2-10y+25=3y+5 | | 42+343a=48a+49 | | 7t^2+28t+56=0 | | 8r-6=10 | | 1=3r+4 | | 3(1+b)-5=3b-2 | | 413.4=-15.9n | | 4(1)-(-3)=2 | | 1=3r+4+1 | | 6(n-4)=3(n+3) | | 3x^3-24x^2=0 | | -3x+11+4x=5+x+6 | | 7(-5x-9)=5x+17 | | 4(2)+y=15 | | x^2+x-50=5x-5 | | 5a+4(3a-8)=7x+13a | | 3(2-1a)=42 | | Y-13=-10(x+7) | | 16x^3+48x^2-25x-75=0 | | 3x+5(2x-1)=6 | | 9u^2-8u+1=0 | | 28-11x=11+6x | | 5.4t+14.6-10.1=12.8-3.5t-0.6 | | 8x-7=4x+1 | | 35x^2+22x-24=0 | | 14-6(6-3c)=4c-c |

Equations solver categories