4y^3+48y^2=4y^4

Simple and best practice solution for 4y^3+48y^2=4y^4 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^3+48y^2=4y^4 equation:


Simplifying
4y3 + 48y2 = 4y4

Reorder the terms:
48y2 + 4y3 = 4y4

Solving
48y2 + 4y3 = 4y4

Solving for variable 'y'.

Combine like terms: 4y4 + -4y4 = 0
48y2 + 4y3 + -4y4 = 0

Factor out the Greatest Common Factor (GCF), '4y2'.
4y2(12 + y + -1y2) = 0

Factor a trinomial.
4y2((4 + -1y)(3 + y)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}

Subproblem 2

Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Subproblem 3

Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3

Solution

y = {0, 4, -3}

See similar equations:

| 13+10p=103 | | v+3(v-3)=7(v-3) | | 2x-6+4x=45+8 | | 2x+34=4(x+5) | | -3x+3=-15+6x | | N+0.8=n+1 | | 5x+7=8x-29 | | x-41=3 | | 4u-2=-6u+28 | | 5w+6=16 | | 3.95p+0.85t= | | 3.95p+0.85= | | 9q=5q+24 | | -12= | | 4x+2=22-8x | | 5b+6b=99 | | 4.8(j+3)=1.2(2j-8) | | 6+(7+3)*5+1+2+17+(5*2)*1+18= | | 8+(12+6)=(8+12)+6 | | 4x+50=6x+20 | | 4x-13=2x+9 | | 4x-13=-2x+9 | | 5a=45 | | 35x^2+23x-6=0 | | -5(x+2)-2x+9= | | 12+7-3*2+19-2+(8+4)+3*5-(4+1)= | | -6(3+8k)=9(10-12k) | | 5y+12y=20 | | -4x+6=-2x | | 0.3b=8 | | 75+n=1000 | | .2x-.3=-7x-2.1 |

Equations solver categories