3y^2-36y-135=0

Simple and best practice solution for 3y^2-36y-135=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 3y^2-36y-135=0 equation:


Simplifying
3y2 + -36y + -135 = 0

Reorder the terms:
-135 + -36y + 3y2 = 0

Solving
-135 + -36y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-45 + -12y + y2) = 0

Factor a trinomial.
3((-3 + -1y)(15 + -1y)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + -1y)' equal to zero and attempt to solve: Simplifying -3 + -1y = 0 Solving -3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3

Subproblem 2

Set the factor '(15 + -1y)' equal to zero and attempt to solve: Simplifying 15 + -1y = 0 Solving 15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = 0 + -15 -1y = 0 + -15 Combine like terms: 0 + -15 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15

Solution

y = {-3, 15}

See similar equations:

| 2x=5+40-3x | | 4x+30=11x-54 | | 9x+5y=34 | | x^2+bx+c=0 | | 9x-8=6x+14 | | 77-7x=38x+17 | | 5x+37=11x-59 | | x^6=-9x^4 | | r^2-3r+2=0 | | x+4(x+5)=4 | | 124-3x=5x+20 | | 12x+-7y=-49 | | 3x-(x+6)=-4 | | 3*x^2=-4*x-2 | | x^2=1-x | | 6+5+x=4+7 | | x-2(x-1)=3x-5(x+2) | | 5*n^2=9+n | | b=.17*.5 | | 5*n^2+4*n=10 | | 8-6x=12-7x | | 2x+9=31 | | y=0.17*.5+b | | 2x+4.7=7.1 | | .07x+1.27=.04x+1.21 | | 2x-5(6x-6y)= | | 3*p^2-5*p=6 | | 6(x-4)=3(3x+5) | | 8=x+14 | | 3(x+1)+5(x-3)= | | 3x-3=2x+2 | | x^2-24x+92=0 |

Equations solver categories