y^2-5y-24=-6y-4

Simple and best practice solution for y^2-5y-24=-6y-4 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^2-5y-24=-6y-4 equation: 


Simplifying
y2 + -5y + -24 = -6y + -4

Reorder the terms:
-24 + -5y + y2 = -6y + -4

Reorder the terms:
-24 + -5y + y2 = -4 + -6y

Solving
-24 + -5y + y2 = -4 + -6y

Solving for variable 'y'.

Reorder the terms:
-24 + 4 + -5y + 6y + y2 = -4 + -6y + 4 + 6y

Combine like terms: -24 + 4 = -20
-20 + -5y + 6y + y2 = -4 + -6y + 4 + 6y

Combine like terms: -5y + 6y = 1y
-20 + 1y + y2 = -4 + -6y + 4 + 6y

Reorder the terms:
-20 + 1y + y2 = -4 + 4 + -6y + 6y

Combine like terms: -4 + 4 = 0
-20 + 1y + y2 = 0 + -6y + 6y
-20 + 1y + y2 = -6y + 6y

Combine like terms: -6y + 6y = 0
-20 + 1y + y2 = 0

Factor a trinomial.
(-5 + -1y)(4 + -1y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-5, 4}

See similar equations:

| 3x-2(1)=8 | | 9d+4d-5d-2-2d=0 | | 4m(m^2+6m+5)+2m-1(m^2+3m+2)=0 | | -5-4-3= | | 6=-d+10 | | 4m^3-m^2+43m-2=0 | | 2x^2+3x-119=0 | | 9-15y-2y=-8 | | 0.6w-0.4w+0.3w=5 | | 9+x=4x | | 4m(m^2+6m+5)=0 | | 0=-16t^2+96t-108 | | y+3y+5y-2y= | | 20=t+9 | | 15-3(r+5)= | | (9x-5)(6x+2)=0 | | 2m-1(m^2+3m+2)=0 | | -3x+7=-33 | | m+.12m=30.24 | | -8(-4x+5)+x=2x-40 | | 6a+2.64=4 | | -2x+4(2x-9)= | | 5x+-6x^2=1 | | 3y-15=21 | | 12y+6(y+4)= | | 7x-40=4(7+6x) | | 6y+4x=2 | | 6-8c+14+c= | | p-.60=636. | | 4x+6y=2 | | 9x+9=99 | | 9x^2-39x=-24 |

Equations solver categories