y^2+3*y=6*y+10

Simple and best practice solution for y^2+3*y=6*y+10 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+3*y=6*y+10 equation:


Simplifying
y2 + 3y = 6y + 10

Reorder the terms:
3y + y2 = 6y + 10

Reorder the terms:
3y + y2 = 10 + 6y

Solving
3y + y2 = 10 + 6y

Solving for variable 'y'.

Reorder the terms:
-10 + 3y + -6y + y2 = 10 + 6y + -10 + -6y

Combine like terms: 3y + -6y = -3y
-10 + -3y + y2 = 10 + 6y + -10 + -6y

Reorder the terms:
-10 + -3y + y2 = 10 + -10 + 6y + -6y

Combine like terms: 10 + -10 = 0
-10 + -3y + y2 = 0 + 6y + -6y
-10 + -3y + y2 = 6y + -6y

Combine like terms: 6y + -6y = 0
-10 + -3y + y2 = 0

Factor a trinomial.
(-2 + -1y)(5 + -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 '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Solution

y = {-2, 5}

See similar equations:

| 4x-14+x=16 | | 12y+4+4y= | | 189=-6x-3(-7x-18) | | 5y+2.5x=1000 | | B+244=360 | | (x-6.4)=4.7 | | 9+8(-7f+4)= | | x(x)+8x=130 | | 9-(2x+10)=27-6x | | -3-7(5+2p)= | | 3(6v+7)=21+7b | | 3(g+4)=g | | -1/4p=6 | | -3(-2n+2)=3n-6 | | 12.5x+17= | | 2.745*x=20 | | 2/3=1/2x | | .75s-5/8s=44 | | -2(7g-5)= | | -6(b-7)=-2+5b | | (1-i)x^2+(2-i)x+2=-1 | | x-6.4=4.7 | | 2x-19+3x=21 | | 6n-10n+3= | | 32-n=(3n-8) | | 2/7×m=8/14 | | 0.02x+0.1=100 | | 3(8x-8)-6x=36+8x | | 2x^2+10=-278 | | 9k+7(-2-5k)= | | 3(2z+3)=-75 | | 16x+-16x-2=4 |

Equations solver categories