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

Ignore the factor 2.

Subproblem 1
Set the factor '(45 + 13y + 2y2)' equal to zero and attempt to solve:

Simplifying
45 + 13y + 2y2 = 0

Solving
45 + 13y + 2y2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
22.5 + 6.5y + y2 = 0

Move the constant term to the right:

Add '-22.5' to each side of the equation.
22.5 + 6.5y + -22.5 + y2 = 0 + -22.5

Reorder the terms:
22.5 + -22.5 + 6.5y + y2 = 0 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 6.5y + y2 = 0 + -22.5
6.5y + y2 = 0 + -22.5

Combine like terms: 0 + -22.5 = -22.5
6.5y + y2 = -22.5

The y term is 6.5y.  Take half its coefficient (3.25).
Square it (10.5625) and add it to both sides.

Add '10.5625' to each side of the equation.
6.5y + 10.5625 + y2 = -22.5 + 10.5625

Reorder the terms:
10.5625 + 6.5y + y2 = -22.5 + 10.5625

Combine like terms: -22.5 + 10.5625 = -11.9375
10.5625 + 6.5y + y2 = -11.9375

Factor a perfect square on the left side:
(y + 3.25)(y + 3.25) = -11.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| .20(y-8)+.18y=.14y-.1 | | 9x-2x+8=x-7+15 | | -15=-8(z-89)+73 | | 3+91x=52x+15 | | 16x+80=2(4x+16) | | -(x-1)=-2(x+4) | | 8x+8=5x-13 | | 7(c+32)=91 | | .50x+.25(70)=41.5 | | x+2=2-x+1 | | -4y-2y= | | -(x-1)=2(x+4) | | xsquared+2x-15=0 | | 3(d-5)+1=10 | | 42-4x=10-8x | | 3(v+3)=18 | | 9x+43=9x+5 | | -4(2x+3)+6x=4(3x-8)+2x | | 9m+4=85 | | 0=x^2+5x-20 | | 15-j=9 | | 4+9x=12+x | | -3/h=3 | | x+2=2+x-1 | | X=20000(1/2)^2 | | 3(3x-6)=6x-27 | | 7-f=4 | | -11-(12-10)= | | 20=4x+9 | | 6x-9=3+4x | | -y/5=5 | | 15x+7y=45 |

Equations solver categories