(5b-5d)(5b+4d)=

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


Simplifying
(5b + -5d)(5b + 4d) = 0

Multiply (5b + -5d) * (5b + 4d)
(5b * (5b + 4d) + -5d * (5b + 4d)) = 0
((5b * 5b + 4d * 5b) + -5d * (5b + 4d)) = 0

Reorder the terms:
((20bd + 25b2) + -5d * (5b + 4d)) = 0
((20bd + 25b2) + -5d * (5b + 4d)) = 0
(20bd + 25b2 + (5b * -5d + 4d * -5d)) = 0
(20bd + 25b2 + (-25bd + -20d2)) = 0

Reorder the terms:
(20bd + -25bd + 25b2 + -20d2) = 0

Combine like terms: 20bd + -25bd = -5bd
(-5bd + 25b2 + -20d2) = 0

Solving
-5bd + 25b2 + -20d2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-1bd + 5b2 + -4d2) = 0

Factor a trinomial.
5((b + -1d)(5b + 4d)) = 0

Ignore the factor 5.

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 '(5b + 4d)' equal to zero and attempt to solve:

Simplifying
5b + 4d = 0

Solving
5b + 4d = 0

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

Add '-4d' to each side of the equation.
5b + 4d + -4d = 0 + -4d

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

Divide each side by '5'.
b = -0.8d

Simplifying
b = -0.8d
Solution
b = {d, -0.8d}

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