(b^2+5)(-b^2+7)=0

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Solution for (b^2+5)(-b^2+7)=0 equation: 


Simplifying
(b2 + 5)(-1b2 + 7) = 0

Reorder the terms:
(5 + b2)(-1b2 + 7) = 0

Reorder the terms:
(5 + b2)(7 + -1b2) = 0

Multiply (5 + b2) * (7 + -1b2)
(5(7 + -1b2) + b2(7 + -1b2)) = 0
((7 * 5 + -1b2 * 5) + b2(7 + -1b2)) = 0
((35 + -5b2) + b2(7 + -1b2)) = 0
(35 + -5b2 + (7 * b2 + -1b2 * b2)) = 0
(35 + -5b2 + (7b2 + -1b4)) = 0

Combine like terms: -5b2 + 7b2 = 2b2
(35 + 2b2 + -1b4) = 0

Solving
35 + 2b2 + -1b4 = 0

Solving for variable 'b'.

Factor a trinomial.
(7 + -1b2)(5 + b2) = 0


Subproblem 1
Set the factor '(7 + -1b2)' equal to zero and attempt to solve:

Simplifying
7 + -1b2 = 0

Solving
7 + -1b2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1b2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b2 = 0 + -7
-1b2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1b2 = -7

Divide each side by '-1'.
b2 = 7

Simplifying
b2 = 7

Take the square root of each side:
b = {-2.645751311, 2.645751311}

Subproblem 2
Set the factor '(5 + b2)' equal to zero and attempt to solve:

Simplifying
5 + b2 = 0

Solving
5 + b2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + b2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + b2 = 0 + -5
b2 = 0 + -5

Combine like terms: 0 + -5 = -5
b2 = -5

Simplifying
b2 = -5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {-2.645751311, 2.645751311}

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