y^2-4y+10=y(y-5)

Simple and best practice solution for y^2-4y+10=y(y-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^2-4y+10=y(y-5) equation: 


Simplifying
y2 + -4y + 10 = y(y + -5)

Reorder the terms:
10 + -4y + y2 = y(y + -5)

Reorder the terms:
10 + -4y + y2 = y(-5 + y)
10 + -4y + y2 = (-5 * y + y * y)
10 + -4y + y2 = (-5y + y2)

Add '-1y2' to each side of the equation.
10 + -4y + y2 + -1y2 = -5y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
10 + -4y + 0 = -5y + y2 + -1y2
10 + -4y = -5y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
10 + -4y = -5y + 0
10 + -4y = -5y

Solving
10 + -4y = -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
10 + -4y + 5y = -5y + 5y

Combine like terms: -4y + 5y = 1y
10 + 1y = -5y + 5y

Combine like terms: -5y + 5y = 0
10 + 1y = 0

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

See similar equations:

| 12a^2+2a+6=0 | | x^8+3x^7= | | t-44=-30 | | 5w^2-4w-12=0 | | 100=x+18+x | | 3x+21=15 | | 8a^2+6n=18 | | 5(4c-1)-5=18c+2 | | 2x+3y=53 | | 3m^2+4m-7=0 | | 7+3=10 | | x=4+-2y | | X+((-3)x)=-8 | | 7x+17=-4 | | 2x+2=2(x-7) | | -3x-(-8)=x | | -y=8x | | -6(2r+4)=-84 | | O=4x+(-6x+7) | | -4y+4=-2(3y+7) | | 6t-4=2 | | x+2x+14=83 | | 3x+20=-1 | | f(f(t^2))=x+5 | | 28+4y-10=14y-14-2y | | -5[3+5(-3+5)]+12= | | -6(12-2w)=7(-2-3w) | | 3(2x-6)+(-6)(2x-4)= | | -64=4(-6m+2) | | 3y^2-19y+6=0 | | 20u-13+16u+33= | | -64=(-6m+2) |

Equations solver categories