-6y^5(2y^2+9y-2)=

Simple and best practice solution for -6y^5(2y^2+9y-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 -6y^5(2y^2+9y-2)= equation: 


Simplifying
-6y5(2y2 + 9y + -2) = 0

Reorder the terms:
-6y5(-2 + 9y + 2y2) = 0
(-2 * -6y5 + 9y * -6y5 + 2y2 * -6y5) = 0
(12y5 + -54y6 + -12y7) = 0

Solving
12y5 + -54y6 + -12y7 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y5'.
6y5(2 + -9y + -2y2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'y5' equal to zero and attempt to solve:

Simplifying
y5 = 0

Solving
y5 = 0

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

Simplifying
y5 = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(2 + -9y + -2y2)' equal to zero and attempt to solve:

Simplifying
2 + -9y + -2y2 = 0

Solving
2 + -9y + -2y2 = 0

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

Divide each side by '-2'.
-1 + 4.5y + y2 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + 4.5y + 1 + y2 = 0 + 1

Reorder the terms:
-1 + 1 + 4.5y + y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4.5y + y2 = 0 + 1
4.5y + y2 = 0 + 1

Combine like terms: 0 + 1 = 1
4.5y + y2 = 1

The y term is 4.5y.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5y + 5.0625 + y2 = 1 + 5.0625

Reorder the terms:
5.0625 + 4.5y + y2 = 1 + 5.0625

Combine like terms: 1 + 5.0625 = 6.0625
5.0625 + 4.5y + y2 = 6.0625

Factor a perfect square on the left side:
(y + 2.25)(y + 2.25) = 6.0625

Calculate the square root of the right side: 2.46221445

Break this problem into two subproblems by setting 
(y + 2.25) equal to 2.46221445 and -2.46221445.


Subproblem 1
y + 2.25 = 2.46221445

Simplifying
y + 2.25 = 2.46221445

Reorder the terms:
2.25 + y = 2.46221445

Solving
2.25 + y = 2.46221445

Solving for variable 'y'.

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + y = 2.46221445 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + y = 2.46221445 + -2.25
y = 2.46221445 + -2.25

Combine like terms: 2.46221445 + -2.25 = 0.21221445
y = 0.21221445

Simplifying
y = 0.21221445


Subproblem 2
y + 2.25 = -2.46221445

Simplifying
y + 2.25 = -2.46221445

Reorder the terms:
2.25 + y = -2.46221445

Solving
2.25 + y = -2.46221445

Solving for variable 'y'.

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + y = -2.46221445 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + y = -2.46221445 + -2.25
y = -2.46221445 + -2.25

Combine like terms: -2.46221445 + -2.25 = -4.71221445
y = -4.71221445

Simplifying
y = -4.71221445


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.21221445, -4.71221445}
Solution
y = {0.21221445, -4.71221445}

See similar equations:

| (-6)(3)(4)= | | d=25y+25y | | 4x+20=4x+25 | | 2/3y=1 | | Y=2ln(x+1)-3 | | 5y-y-4=0 | | 2x-4=6x+32x | | (2x-y^2)(x-y^2)= | | 4z-9+4z+6=2z+9 | | 10000+b^2=15625 | | 7w+5=4+w | | 9x-19=6x+4 | | 3735=11 | | 3(z+8)=-2z-4 | | (3x-y)(2x-2y)= | | 24x^2+41x=65 | | exp(x)-exp(x)exp(x)=0 | | -9(3r+2)=11t | | 57X=8 | | 10+(-5)+(5)= | | 2z(z)+z=-50 | | -5+(-3)+4= | | 14m-10-9m=5 | | 10+(-5)+(-3)= | | 4d+18-2d=60 | | F(x)=4x^3-6x^2+(9*x)+10 | | 9x-15=25 | | 6x+163= | | 4r(9r+5)=0 | | F(x)=4x^3-6x^2+9*x+10 | | -9+(-1)+6= | | 2b+7+3b=27 |

Equations solver categories