-5a(ac+bd)=

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Solution for -5a(ac+bd)= equation: 


Simplifying
-5a(ac + bd) = 0
(ac * -5a + bd * -5a) = 0

Reorder the terms:
(-5abd + -5a2c) = 0
(-5abd + -5a2c) = 0

Solving
-5abd + -5a2c = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-5a'.
-5a(bd + ac) = 0

Ignore the factor -5.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

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

Simplifying
bd + ac = 0

Reorder the terms:
ac + bd = 0

Solving
ac + bd = 0

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

Add '-1bd' to each side of the equation.
ac + bd + -1bd = 0 + -1bd

Combine like terms: bd + -1bd = 0
ac + 0 = 0 + -1bd
ac = 0 + -1bd
Remove the zero:
ac = -1bd

Divide each side by 'c'.
a = -1bc-1d

Simplifying
a = -1bc-1d
Solution
a = {0, -1bc-1d}

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