4y^2+26y-90=0

Simple and best practice solution for 4y^2+26y-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 4y^2+26y-90=0 equation: 


Simplifying
4y2 + 26y + -90 = 0

Reorder the terms:
-90 + 26y + 4y2 = 0

Solving
-90 + 26y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + 13y + 2y2) = 0

Factor a trinomial.
2((-9 + -1y)(5 + -2y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve:

Simplifying
-9 + -1y = 0

Solving
-9 + -1y = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = 0 + 9
-1y = 0 + 9

Combine like terms: 0 + 9 = 9
-1y = 9

Divide each side by '-1'.
y = -9

Simplifying
y = -9

Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve:

Simplifying
5 + -2y = 0

Solving
5 + -2y = 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 + -2y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2y = 0 + -5
-2y = 0 + -5

Combine like terms: 0 + -5 = -5
-2y = -5

Divide each side by '-2'.
y = 2.5

Simplifying
y = 2.5
Solution
y = {-9, 2.5}

See similar equations:

| 30a^2+89a+63=0 | | 12x^2+37x+28=0 | | 10x=236 | | 4+(x+1)=9 | | 3b^2-11b-4=0 | | 20c^2+17c-63=0 | | 12b^2+11b-15=0 | | 12r^2+11r-15=0 | | x^2-4x-6=y | | 7(x+1)=34 | | z^2-5z+8=0 | | x*x-2*2.236x+5= | | x*x+9= | | 3x=-x+4 | | x*x*x*x-81= | | x*x-14x-52= | | z^4-64=0 | | x^4-x^2+1=0 | | x*x-25= | | x*x*x-25= | | A+17=31 | | 18-t=3t | | 7+4y-5+2y= | | (9x-4)(5+7)= | | -(-3-7k)= | | (9x-4)(5x+7)= | | -9+x=-42 | | 7x+2=-33 | | 5(-6+3)= | | X=-48+x | | (-8+3x)6= | | X=x-48 |

Equations solver categories