b^4-2500b^2+1440000=0

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Solution for b^4-2500b^2+1440000=0 equation: 


Simplifying
b4 + -2500b2 + 1440000 = 0

Reorder the terms:
1440000 + -2500b2 + b4 = 0

Solving
1440000 + -2500b2 + b4 = 0

Solving for variable 'b'.

Factor a trinomial.
(900 + -1b2)(1600 + -1b2) = 0

Factor a difference between two squares.
((30 + b)(30 + -1b))(1600 + -1b2) = 0

Factor a difference between two squares.
((40 + b)(40 + -1b))(30 + b)(30 + -1b) = 0


Subproblem 1
Set the factor '(30 + b)' equal to zero and attempt to solve:

Simplifying
30 + b = 0

Solving
30 + b = 0

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

Add '-30' to each side of the equation.
30 + -30 + b = 0 + -30

Combine like terms: 30 + -30 = 0
0 + b = 0 + -30
b = 0 + -30

Combine like terms: 0 + -30 = -30
b = -30

Simplifying
b = -30

Subproblem 2
Set the factor '(30 + -1b)' equal to zero and attempt to solve:

Simplifying
30 + -1b = 0

Solving
30 + -1b = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1b = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1b = 0 + -30
-1b = 0 + -30

Combine like terms: 0 + -30 = -30
-1b = -30

Divide each side by '-1'.
b = 30

Simplifying
b = 30

Subproblem 3
Set the factor '(40 + b)' equal to zero and attempt to solve:

Simplifying
40 + b = 0

Solving
40 + b = 0

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

Add '-40' to each side of the equation.
40 + -40 + b = 0 + -40

Combine like terms: 40 + -40 = 0
0 + b = 0 + -40
b = 0 + -40

Combine like terms: 0 + -40 = -40
b = -40

Simplifying
b = -40

Subproblem 4
Set the factor '(40 + -1b)' equal to zero and attempt to solve:

Simplifying
40 + -1b = 0

Solving
40 + -1b = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1b = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1b = 0 + -40
-1b = 0 + -40

Combine like terms: 0 + -40 = -40
-1b = -40

Divide each side by '-1'.
b = 40

Simplifying
b = 40
Solution
b = {-30, 30, -40, 40}

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