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

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


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

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

Reorder the terms:
((12bt + 16b2) + -4t * (4b + 3t)) = 0
((12bt + 16b2) + -4t * (4b + 3t)) = 0
(12bt + 16b2 + (4b * -4t + 3t * -4t)) = 0
(12bt + 16b2 + (-16bt + -12t2)) = 0

Reorder the terms:
(12bt + -16bt + 16b2 + -12t2) = 0

Combine like terms: 12bt + -16bt = -4bt
(-4bt + 16b2 + -12t2) = 0

Solving
-4bt + 16b2 + -12t2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1bt + 4b2 + -3t2) = 0

Factor a trinomial.
4((b + -1t)(4b + 3t)) = 0

Ignore the factor 4.

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

Simplifying
b + -1t = 0

Solving
b + -1t = 0

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

Add 't' to each side of the equation.
b + -1t + t = 0 + t

Combine like terms: -1t + t = 0
b + 0 = 0 + t
b = 0 + t
Remove the zero:
b = t

Simplifying
b = t

Subproblem 2
Set the factor '(4b + 3t)' equal to zero and attempt to solve:

Simplifying
4b + 3t = 0

Solving
4b + 3t = 0

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

Add '-3t' to each side of the equation.
4b + 3t + -3t = 0 + -3t

Combine like terms: 3t + -3t = 0
4b + 0 = 0 + -3t
4b = 0 + -3t
Remove the zero:
4b = -3t

Divide each side by '4'.
b = -0.75t

Simplifying
b = -0.75t
Solution
b = {t, -0.75t}

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