2025=b^4-72b^2

Simple and best practice solution for 2025=b^4-72b^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 2025=b^4-72b^2 equation: 


Simplifying
2025 = b4 + -72b2

Reorder the terms:
2025 = -72b2 + b4

Solving
2025 = -72b2 + b4

Solving for variable 'b'.

Reorder the terms:
2025 + 72b2 + -1b4 = -72b2 + 72b2 + b4 + -1b4

Combine like terms: -72b2 + 72b2 = 0
2025 + 72b2 + -1b4 = 0 + b4 + -1b4
2025 + 72b2 + -1b4 = b4 + -1b4

Combine like terms: b4 + -1b4 = 0
2025 + 72b2 + -1b4 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-2025 + -72b2 + b4 = 0

Move the constant term to the right:

Add '2025' to each side of the equation.
-2025 + -72b2 + 2025 + b4 = 0 + 2025

Reorder the terms:
-2025 + 2025 + -72b2 + b4 = 0 + 2025

Combine like terms: -2025 + 2025 = 0
0 + -72b2 + b4 = 0 + 2025
-72b2 + b4 = 0 + 2025

Combine like terms: 0 + 2025 = 2025
-72b2 + b4 = 2025

The b term is -72b2.  Take half its coefficient (-36).
Square it (1296) and add it to both sides.

Add '1296' to each side of the equation.
-72b2 + 1296 + b4 = 2025 + 1296

Reorder the terms:
1296 + -72b2 + b4 = 2025 + 1296

Combine like terms: 2025 + 1296 = 3321
1296 + -72b2 + b4 = 3321

Factor a perfect square on the left side:
(b2 + -36)(b2 + -36) = 3321

Calculate the square root of the right side: 57.628118137

Break this problem into two subproblems by setting 
(b2 + -36) equal to 57.628118137 and -57.628118137.


Subproblem 1
b2 + -36 = 57.628118137

Simplifying
b2 + -36 = 57.628118137

Reorder the terms:
-36 + b2 = 57.628118137

Solving
-36 + b2 = 57.628118137

Solving for variable 'b'.

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

Add '36' to each side of the equation.
-36 + 36 + b2 = 57.628118137 + 36

Combine like terms: -36 + 36 = 0
0 + b2 = 57.628118137 + 36
b2 = 57.628118137 + 36

Combine like terms: 57.628118137 + 36 = 93.628118137
b2 = 93.628118137

Simplifying
b2 = 93.628118137

Take the square root of each side:
b = {-9.676162366, 9.676162366}


Subproblem 2
b2 + -36 = -57.628118137

Simplifying
b2 + -36 = -57.628118137

Reorder the terms:
-36 + b2 = -57.628118137

Solving
-36 + b2 = -57.628118137

Solving for variable 'b'.

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

Add '36' to each side of the equation.
-36 + 36 + b2 = -57.628118137 + 36

Combine like terms: -36 + 36 = 0
0 + b2 = -57.628118137 + 36
b2 = -57.628118137 + 36

Combine like terms: -57.628118137 + 36 = -21.628118137
b2 = -21.628118137

Simplifying
b2 = -21.628118137

Reorder the terms:
21.628118137 + b2 = -21.628118137 + 21.628118137

Combine like terms: -21.628118137 + 21.628118137 = 0.000000000
21.628118137 + b2 = 0.000000000

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:

| 7n+3=37 | | X+8=3(x-4) | | 3n-7=37 | | 6x-(5x+3)=5x-11 | | K=3/2(k-9) | | n^2+21n=0 | | -20+(-1)= | | 13x-83+56=90 | | 5(x-3)+5=3(x-7)+5 | | 16x+20+19x=90 | | 2(n-7)-3=9 | | 2+2=s | | x-1=45 | | -20x+65=45 | | 11x-69+x+27=90 | | 6x+49+35=90 | | 4(2+2x)=7(x-1) | | 12+3(2-x)=2(x+1)+7 | | x-41+x-11=90 | | 10x+35=90 | | 6z+4z= | | x-2=53 | | 252-28x=81+9x | | xy-7x+8y-56= | | 14x-81+x+21=90 | | 12x-67+12x-83=90 | | 7x-(6x+8)=2x-16 | | 4x-9-2x+7y-3y+16=0 | | B-4=12.75 | | m^2+16m-32=0 | | 6=-12+3b | | 4b=12.75 |

Equations solver categories