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

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


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

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

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

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

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

Solving
-4bd + 16b2 + -12d2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1bd + 4b2 + -3d2) = 0

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

Ignore the factor 4.

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

Simplifying
b + -1d = 0

Solving
b + -1d = 0

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

Add 'd' to each side of the equation.
b + -1d + d = 0 + d

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

Simplifying
b = d

Subproblem 2
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
Solution
b = {d, -0.75d}

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