(5b-6d)(5b+5d)=

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Solution for (5b-6d)(5b+5d)= equation: 


Simplifying
(5b + -6d)(5b + 5d) = 0

Multiply (5b + -6d) * (5b + 5d)
(5b * (5b + 5d) + -6d * (5b + 5d)) = 0
((5b * 5b + 5d * 5b) + -6d * (5b + 5d)) = 0

Reorder the terms:
((25bd + 25b2) + -6d * (5b + 5d)) = 0
((25bd + 25b2) + -6d * (5b + 5d)) = 0
(25bd + 25b2 + (5b * -6d + 5d * -6d)) = 0
(25bd + 25b2 + (-30bd + -30d2)) = 0

Reorder the terms:
(25bd + -30bd + 25b2 + -30d2) = 0

Combine like terms: 25bd + -30bd = -5bd
(-5bd + 25b2 + -30d2) = 0

Solving
-5bd + 25b2 + -30d2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-1bd + 5b2 + -6d2) = 0

Factor a trinomial.
5((5b + -6d)(b + d)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(5b + -6d)' equal to zero and attempt to solve:

Simplifying
5b + -6d = 0

Solving
5b + -6d = 0

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

Add '6d' to each side of the equation.
5b + -6d + 6d = 0 + 6d

Combine like terms: -6d + 6d = 0
5b + 0 = 0 + 6d
5b = 0 + 6d
Remove the zero:
5b = 6d

Divide each side by '5'.
b = 1.2d

Simplifying
b = 1.2d

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

Simplifying
b + d = 0

Solving
b + d = 0

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

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

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

Simplifying
b = -1d
Solution
b = {1.2d, -1d}

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