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

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


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

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

Reorder the terms:
((-3bd + 4b2) + 4d * (4b + -3d)) = 0
((-3bd + 4b2) + 4d * (4b + -3d)) = 0
(-3bd + 4b2 + (4b * 4d + -3d * 4d)) = 0
(-3bd + 4b2 + (16bd + -12d2)) = 0

Reorder the terms:
(-3bd + 16bd + 4b2 + -12d2) = 0

Combine like terms: -3bd + 16bd = 13bd
(13bd + 4b2 + -12d2) = 0

Solving
13bd + 4b2 + -12d2 = 0

Solving for variable 'b'.

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


Subproblem 1
Set the factor '(4b + -3d)' equal to zero and attempt to solve:

Simplifying
4b + -3d = 0

Solving
4b + -3d = 0

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

Add '3d' to each side of the equation.
4b + -3d + 3d = 0 + 3d

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

Divide each side by '4'.
b = 0.75d

Simplifying
b = 0.75d

Subproblem 2
Set the factor '(b + 4d)' equal to zero and attempt to solve:

Simplifying
b + 4d = 0

Solving
b + 4d = 0

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

Add '-4d' to each side of the equation.
b + 4d + -4d = 0 + -4d

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

Simplifying
b = -4d
Solution
b = {0.75d, -4d}

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