(5b-4t)(5b+3t)=

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Solution for (5b-4t)(5b+3t)= equation: 


Simplifying
(5b + -4t)(5b + 3t) = 0

Multiply (5b + -4t) * (5b + 3t)
(5b * (5b + 3t) + -4t * (5b + 3t)) = 0
((5b * 5b + 3t * 5b) + -4t * (5b + 3t)) = 0

Reorder the terms:
((15bt + 25b2) + -4t * (5b + 3t)) = 0
((15bt + 25b2) + -4t * (5b + 3t)) = 0
(15bt + 25b2 + (5b * -4t + 3t * -4t)) = 0
(15bt + 25b2 + (-20bt + -12t2)) = 0

Reorder the terms:
(15bt + -20bt + 25b2 + -12t2) = 0

Combine like terms: 15bt + -20bt = -5bt
(-5bt + 25b2 + -12t2) = 0

Solving
-5bt + 25b2 + -12t2 = 0

Solving for variable 'b'.

Factor a trinomial.
(5b + -4t)(5b + 3t) = 0


Subproblem 1
Set the factor '(5b + -4t)' equal to zero and attempt to solve:

Simplifying
5b + -4t = 0

Solving
5b + -4t = 0

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

Add '4t' to each side of the equation.
5b + -4t + 4t = 0 + 4t

Combine like terms: -4t + 4t = 0
5b + 0 = 0 + 4t
5b = 0 + 4t
Remove the zero:
5b = 4t

Divide each side by '5'.
b = 0.8t

Simplifying
b = 0.8t

Subproblem 2
Set the factor '(5b + 3t)' equal to zero and attempt to solve:

Simplifying
5b + 3t = 0

Solving
5b + 3t = 0

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

Add '-3t' to each side of the equation.
5b + 3t + -3t = 0 + -3t

Combine like terms: 3t + -3t = 0
5b + 0 = 0 + -3t
5b = 0 + -3t
Remove the zero:
5b = -3t

Divide each side by '5'.
b = -0.6t

Simplifying
b = -0.6t
Solution
b = {0.8t, -0.6t}

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