3y(2+4y+5y^2)=

Simple and best practice solution for 3y(2+4y+5y^2)= 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+4y+5y^2)= equation: 


Simplifying
3y(2 + 4y + 5y2) = 0
(2 * 3y + 4y * 3y + 5y2 * 3y) = 0
(6y + 12y2 + 15y3) = 0

Solving
6y + 12y2 + 15y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(2 + 4y + 5y2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(2 + 4y + 5y2)' equal to zero and attempt to solve:

Simplifying
2 + 4y + 5y2 = 0

Solving
2 + 4y + 5y2 = 0

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

Divide each side by '5'.
0.4 + 0.8y + y2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 0.8y + -0.4 + y2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 0.8y + y2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.8y + y2 = 0 + -0.4
0.8y + y2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
0.8y + y2 = -0.4

The y term is 0.8y.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8y + 0.16 + y2 = -0.4 + 0.16

Reorder the terms:
0.16 + 0.8y + y2 = -0.4 + 0.16

Combine like terms: -0.4 + 0.16 = -0.24
0.16 + 0.8y + y2 = -0.24

Factor a perfect square on the left side:
(y + 0.4)(y + 0.4) = -0.24

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.
Solution
y = {0}

See similar equations:

| 4(x-5)-7-5(3-2x)= | | (a+b)(2a-3b)= | | g-92=-74 | | (7y-4t)(2y+5t)= | | 2m+18=5m-12 | | 15(2x-3)-2(x-2)=26 | | 2x^2-52x+338=0 | | -3d=-75 | | cos(x)+cos(7x)-cos(4x)=0 | | (3t+2q)(7t-9q)= | | u+25=-61 | | 5r^2-55r+15=0 | | cos(x)+cox(7x)-cox(4x)=0 | | 89=n+3 | | 15y^3+12y^2+6y= | | 2+0.3y=11 | | 2(7x+5)=3(3x-2) | | 9(m)=25(m)+22 | | 6m+14m=-16 | | 6b^2=-18b | | 21=2p-9 | | 40+3x+20-5x=30 | | G+2g+6=6g-21 | | 20x-27=73 | | 5(z)+8=4(z)+20 | | 1.3x+3=-1 | | -6x+9y=84 | | 2w-21.5=9 | | 2x-3y=-28 | | 40-4x=2-10 | | -24y^3-64y^2=0 | | (Y^2+3)(y^2-12)=0 |

Equations solver categories