(5b^2-4t^2)(5b^2-4t^2)=

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Solution for (5b^2-4t^2)(5b^2-4t^2)= equation: 


Simplifying
(5b2 + -4t2)(5b2 + -4t2) = 0

Multiply (5b2 + -4t2) * (5b2 + -4t2)
(5b2 * (5b2 + -4t2) + -4t2 * (5b2 + -4t2)) = 0
((5b2 * 5b2 + -4t2 * 5b2) + -4t2 * (5b2 + -4t2)) = 0

Reorder the terms:
((-20b2t2 + 25b4) + -4t2 * (5b2 + -4t2)) = 0
((-20b2t2 + 25b4) + -4t2 * (5b2 + -4t2)) = 0
(-20b2t2 + 25b4 + (5b2 * -4t2 + -4t2 * -4t2)) = 0
(-20b2t2 + 25b4 + (-20b2t2 + 16t4)) = 0

Reorder the terms:
(-20b2t2 + -20b2t2 + 25b4 + 16t4) = 0

Combine like terms: -20b2t2 + -20b2t2 = -40b2t2
(-40b2t2 + 25b4 + 16t4) = 0

Solving
-40b2t2 + 25b4 + 16t4 = 0

Solving for variable 'b'.

Factor a trinomial.
(5b2 + -4t2)(5b2 + -4t2) = 0


Subproblem 1
Set the factor '(5b2 + -4t2)' equal to zero and attempt to solve:

Simplifying
5b2 + -4t2 = 0

Solving
5b2 + -4t2 = 0

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

Add '4t2' to each side of the equation.
5b2 + -4t2 + 4t2 = 0 + 4t2

Combine like terms: -4t2 + 4t2 = 0
5b2 + 0 = 0 + 4t2
5b2 = 0 + 4t2
Remove the zero:
5b2 = 4t2

Divide each side by '5'.
b2 = 0.8t2

Simplifying
b2 = 0.8t2

Take the square root of each side:
b = {-0.894427191t, 0.894427191t}

Subproblem 2
Set the factor '(5b2 + -4t2)' equal to zero and attempt to solve:

Simplifying
5b2 + -4t2 = 0

Solving
5b2 + -4t2 = 0

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

Add '4t2' to each side of the equation.
5b2 + -4t2 + 4t2 = 0 + 4t2

Combine like terms: -4t2 + 4t2 = 0
5b2 + 0 = 0 + 4t2
5b2 = 0 + 4t2
Remove the zero:
5b2 = 4t2

Divide each side by '5'.
b2 = 0.8t2

Simplifying
b2 = 0.8t2

Take the square root of each side:
b = {-0.894427191t, 0.894427191t}
Solution
b = {-0.894427191t, 0.894427191t, -0.894427191t, 0.894427191t}

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