y^2-13y-90=0

Simple and best practice solution for y^2-13y-90=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 y^2-13y-90=0 equation: 


Simplifying
y2 + -13y + -90 = 0

Reorder the terms:
-90 + -13y + y2 = 0

Solving
-90 + -13y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -1y)(18 + -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 '(18 + -1y)' equal to zero and attempt to solve:

Simplifying
18 + -1y = 0

Solving
18 + -1y = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1y = 0 + -18
-1y = 0 + -18

Combine like terms: 0 + -18 = -18
-1y = -18

Divide each side by '-1'.
y = 18

Simplifying
y = 18
Solution
y = {-5, 18}

See similar equations:

| x+(x-2)=(x+5)-(x+3) | | b^2+2b-35= | | 4(3+3x)-3=33 | | w^2=8w | | c^4-144= | | x+2x-3+x+2x-3=114 | | c^2=24-2c | | -2+4= | | x^2-6x+2=y | | 6k-5j+10-(-2k)-4j-12= | | n+n+20=512 | | 2a+18=20 | | 9a^2-30a+25=0 | | 9a^2+30a+25=0 | | 36s^2-49= | | 2q+6q+-19=5 | | q=3k+3w | | 40+7n=75 | | -8(7x-2y+6z)= | | 2x^2+x=3 | | 10-11y=60 | | n^2-120=7n | | c/7=4 | | c^2+10c+9=0 | | (4x+6)=60 | | p*5=25 | | x^2=-x+6 | | 4m+mn+12+3n= | | -5-7x=-2x | | 4x^2=-8x+5 | | -(5y+2)-(-4y-6)=3 | | 3a^3b^4=(3b)x |

Equations solver categories