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

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


Simplifying
5y3(5y + 4)(y + -2) = 0

Reorder the terms:
5y3(4 + 5y)(y + -2) = 0

Reorder the terms:
5y3(4 + 5y)(-2 + y) = 0

Multiply (4 + 5y) * (-2 + y)
5y3(4(-2 + y) + 5y * (-2 + y)) = 0
5y3((-2 * 4 + y * 4) + 5y * (-2 + y)) = 0
5y3((-8 + 4y) + 5y * (-2 + y)) = 0
5y3(-8 + 4y + (-2 * 5y + y * 5y)) = 0
5y3(-8 + 4y + (-10y + 5y2)) = 0

Combine like terms: 4y + -10y = -6y
5y3(-8 + -6y + 5y2) = 0
(-8 * 5y3 + -6y * 5y3 + 5y2 * 5y3) = 0
(-40y3 + -30y4 + 25y5) = 0

Solving
-40y3 + -30y4 + 25y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y3'.
5y3(-8 + -6y + 5y2) = 0

Factor a trinomial.
5y3((-4 + -5y)(2 + -1y)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve:

Simplifying
y3 = 0

Solving
y3 = 0

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

Simplifying
y3 = 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 '(-4 + -5y)' equal to zero and attempt to solve:

Simplifying
-4 + -5y = 0

Solving
-4 + -5y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5y = 0 + 4
-5y = 0 + 4

Combine like terms: 0 + 4 = 4
-5y = 4

Divide each side by '-5'.
y = -0.8

Simplifying
y = -0.8

Subproblem 3
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-0.8, 2}

See similar equations:

| -7=x+8(x^2-6x-7) | | -3=x+8(x^2-6x-7) | | -5+5x=6x-7 | | 5x-(3x+4)=20 | | 3/x^6=129 | | 4x+16y=-8 | | (-5a^3b^5)*(-6ab^6)= | | 22=60-3+2 | | 7b^2=196 | | 33=x+8(x^2-6x-7) | | 8y^2=192 | | 1/3(4x-11)=x+4 | | -p=3p-9 | | 12x+x-4x-x= | | 8+5x=14-x | | 22=60-1+2 | | 6x-y=98-2equalsy | | 10p+9-11-p=-2(2p+4)-11(2p-2) | | 6n^2-11n-30=0 | | 2+2x+8=1 | | 2sen^2x+3senx+1=0 | | 9.81x^2=5 | | 3n-2=.5 | | 9(n+9)+(n+4)= | | X^4+2x^2+4x+40=0 | | 2(18)-5=27 | | 75=3(-3n-5) | | 4(7-x)-1=11 | | 2(16)-5=27 | | 2(16)-5=15 | | 30/63,972 | | 15-5y=2y-3 |

Equations solver categories