4y^5-4y^4-4y^3=

Simple and best practice solution for 4y^5-4y^4-4y^3= 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^5-4y^4-4y^3= equation: 


Simplifying
4y5 + -4y4 + -4y3 = 0

Reorder the terms:
-4y3 + -4y4 + 4y5 = 0

Solving
-4y3 + -4y4 + 4y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y3'.
4y3(-1 + -1y + y2) = 0

Ignore the factor 4.

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 '(-1 + -1y + y2)' equal to zero and attempt to solve:

Simplifying
-1 + -1y + y2 = 0

Solving
-1 + -1y + y2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The y term is -1y.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1y + 0.25 + y2 = 1 + 0.25

Reorder the terms:
0.25 + -1y + y2 = 1 + 0.25

Combine like terms: 1 + 0.25 = 1.25
0.25 + -1y + y2 = 1.25

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = 1.25

Calculate the square root of the right side: 1.118033989

Break this problem into two subproblems by setting 
(y + -0.5) equal to 1.118033989 and -1.118033989.


Subproblem 1
y + -0.5 = 1.118033989

Simplifying
y + -0.5 = 1.118033989

Reorder the terms:
-0.5 + y = 1.118033989

Solving
-0.5 + y = 1.118033989

Solving for variable 'y'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + y = 1.118033989 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + y = 1.118033989 + 0.5
y = 1.118033989 + 0.5

Combine like terms: 1.118033989 + 0.5 = 1.618033989
y = 1.618033989

Simplifying
y = 1.618033989


Subproblem 2
y + -0.5 = -1.118033989

Simplifying
y + -0.5 = -1.118033989

Reorder the terms:
-0.5 + y = -1.118033989

Solving
-0.5 + y = -1.118033989

Solving for variable 'y'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + y = -1.118033989 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + y = -1.118033989 + 0.5
y = -1.118033989 + 0.5

Combine like terms: -1.118033989 + 0.5 = -0.618033989
y = -0.618033989

Simplifying
y = -0.618033989


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {1.618033989, -0.618033989}
Solution
y = {1.618033989, -0.618033989}

See similar equations:

| 10x+5=12x-5 | | 3w-8-35=0 | | 7(2)-5=y | | 10=5/x | | 7(1)-5=y | | x^2+3x-33=-5x | | y=0.50(190)+16 | | 2(3n-5)=(2n+8)+5 | | x(.5)+16=111 | | 3(2n-5)=(3n+3)+8 | | (209.2)(80-x)=(83.68)(x-10) | | x-2/3x=87 | | 3(y-8)/4=-4y | | 15x+24=139 | | Y=0.0987x+8.1883 | | (x^2d^2-3xd+2i)y=0 | | 1x-3-5x=-27 | | 6x-9x=11x | | 5+6x=4x+10 | | y=0.50x/111 | | 81r^2-5=59 | | 0=3W-8-35 | | 2.5(2)-0.2y=8.1 | | 25x^5-50x^4-x+2=0 | | y=0.50(111)+16 | | x^2-4x-14-x=0 | | 5=7(1)-y | | 7(x-1)+8=5x+2(1+x) | | 14xy-7x+15y-13xy= | | y=-5/6(2)+5 | | -a-3=-2a-3 | | -2/5x-99/10 |

Equations solver categories