[-(y^4-y^2+1)-(y^4+4y^2+1)]+(6y^4-8y^2-5)=

Simple and best practice solution for [-(y^4-y^2+1)-(y^4+4y^2+1)]+(6y^4-8y^2-5)= 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 [-(y^4-y^2+1)-(y^4+4y^2+1)]+(6y^4-8y^2-5)= equation: 


Simplifying
[-1(y4 + -1y2 + 1) + -1(y4 + 4y2 + 1)] + (6y4 + -8y2 + -5) = 0

Reorder the terms:
[-1(1 + -1y2 + y4) + -1(y4 + 4y2 + 1)] + (6y4 + -8y2 + -5) = 0
[(1 * -1 + -1y2 * -1 + y4 * -1) + -1(y4 + 4y2 + 1)] + (6y4 + -8y2 + -5) = 0
[(-1 + 1y2 + -1y4) + -1(y4 + 4y2 + 1)] + (6y4 + -8y2 + -5) = 0

Reorder the terms:
[-1 + 1y2 + -1y4 + -1(1 + 4y2 + y4)] + (6y4 + -8y2 + -5) = 0
[-1 + 1y2 + -1y4 + (1 * -1 + 4y2 * -1 + y4 * -1)] + (6y4 + -8y2 + -5) = 0
[-1 + 1y2 + -1y4 + (-1 + -4y2 + -1y4)] + (6y4 + -8y2 + -5) = 0

Reorder the terms:
[-1 + -1 + 1y2 + -4y2 + -1y4 + -1y4] + (6y4 + -8y2 + -5) = 0

Combine like terms: -1 + -1 = -2
[-2 + 1y2 + -4y2 + -1y4 + -1y4] + (6y4 + -8y2 + -5) = 0

Combine like terms: 1y2 + -4y2 = -3y2
[-2 + -3y2 + -1y4 + -1y4] + (6y4 + -8y2 + -5) = 0

Combine like terms: -1y4 + -1y4 = -2y4
[-2 + -3y2 + -2y4] + (6y4 + -8y2 + -5) = 0

Remove brackets around [-2 + -3y2 + -2y4]
-2 + -3y2 + -2y4 + (6y4 + -8y2 + -5) = 0

Reorder the terms:
-2 + -3y2 + -2y4 + (-5 + -8y2 + 6y4) = 0

Remove parenthesis around (-5 + -8y2 + 6y4)
-2 + -3y2 + -2y4 + -5 + -8y2 + 6y4 = 0

Reorder the terms:
-2 + -5 + -3y2 + -8y2 + -2y4 + 6y4 = 0

Combine like terms: -2 + -5 = -7
-7 + -3y2 + -8y2 + -2y4 + 6y4 = 0

Combine like terms: -3y2 + -8y2 = -11y2
-7 + -11y2 + -2y4 + 6y4 = 0

Combine like terms: -2y4 + 6y4 = 4y4
-7 + -11y2 + 4y4 = 0

Solving
-7 + -11y2 + 4y4 = 0

Solving for variable 'y'.

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

Divide each side by '4'.
-1.75 + -2.75y2 + y4 = 0

Move the constant term to the right:

Add '1.75' to each side of the equation.
-1.75 + -2.75y2 + 1.75 + y4 = 0 + 1.75

Reorder the terms:
-1.75 + 1.75 + -2.75y2 + y4 = 0 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + -2.75y2 + y4 = 0 + 1.75
-2.75y2 + y4 = 0 + 1.75

Combine like terms: 0 + 1.75 = 1.75
-2.75y2 + y4 = 1.75

The y term is -2.75y2.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75y2 + 1.890625 + y4 = 1.75 + 1.890625

Reorder the terms:
1.890625 + -2.75y2 + y4 = 1.75 + 1.890625

Combine like terms: 1.75 + 1.890625 = 3.640625
1.890625 + -2.75y2 + y4 = 3.640625

Factor a perfect square on the left side:
(y2 + -1.375)(y2 + -1.375) = 3.640625

Calculate the square root of the right side: 1.90804219

Break this problem into two subproblems by setting 
(y2 + -1.375) equal to 1.90804219 and -1.90804219.


Subproblem 1
y2 + -1.375 = 1.90804219

Simplifying
y2 + -1.375 = 1.90804219

Reorder the terms:
-1.375 + y2 = 1.90804219

Solving
-1.375 + y2 = 1.90804219

Solving for variable 'y'.

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

Add '1.375' to each side of the equation.
-1.375 + 1.375 + y2 = 1.90804219 + 1.375

Combine like terms: -1.375 + 1.375 = 0.000
0.000 + y2 = 1.90804219 + 1.375
y2 = 1.90804219 + 1.375

Combine like terms: 1.90804219 + 1.375 = 3.28304219
y2 = 3.28304219

Simplifying
y2 = 3.28304219

Take the square root of each side:
y = {-1.811916717, 1.811916717}


Subproblem 2
y2 + -1.375 = -1.90804219

Simplifying
y2 + -1.375 = -1.90804219

Reorder the terms:
-1.375 + y2 = -1.90804219

Solving
-1.375 + y2 = -1.90804219

Solving for variable 'y'.

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

Add '1.375' to each side of the equation.
-1.375 + 1.375 + y2 = -1.90804219 + 1.375

Combine like terms: -1.375 + 1.375 = 0.000
0.000 + y2 = -1.90804219 + 1.375
y2 = -1.90804219 + 1.375

Combine like terms: -1.90804219 + 1.375 = -0.53304219
y2 = -0.53304219

Simplifying
y2 = -0.53304219

Reorder the terms:
0.53304219 + y2 = -0.53304219 + 0.53304219

Combine like terms: -0.53304219 + 0.53304219 = 0.00000000
0.53304219 + y2 = 0.00000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| x(x+5)=3 | | 2/3x-9=-1/3x-6 | | 8x-3(x+2)=4(x-1)+5 | | p^-2/p= | | 2/3x-9=-1/3x-6= | | (-4m^2+6n^2-9n)-[(6m^2-9m+5n)+(-6m^2)+4n^2]= | | 3(2z-1)=2-3z-4 | | 17=2(2x+4-3x) | | x^2+26x+160=0 | | (5x+4)(6x-9)= | | -3/5=-1/8z-1/10 | | 4a^2+3a+2.25=0 | | 4.7w=0.3(50-w) | | 8b^2+2b=36 | | 9x^3-36x-45= | | 4x-3=5(x-1) | | -2x-3y=2 | | -95=-7m-4 | | (2-4)^2/(6-4)^2 | | 6y-4x=14 | | 3x+2y=cx+d | | (6-w)(2w-9)=0 | | (5x+4)+(6x-9)= | | 3x^2-24+33=0 | | (j^3/k^6)^4 | | 1/7x=-11.2 | | -10(a+12)-11(a-12)=-9a+11-3-11a | | 3+2x=3(x-2) | | K/8=-3/8 | | 12x+108=12+12x | | 0.36m+1.2mp-mp^2= | | 7y+1=4y+3 |

Equations solver categories