(20a^2)+(6a*b)+(6a*c)+(6a*d)=50

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Solution for (20a^2)+(6a*b)+(6a*c)+(6a*d)=50 equation: 


Simplifying
(20a2) + (6a * b) + (6a * c) + (6a * d) = 50

Multiply a * b
(20a2) + (6ab) + (6a * c) + (6a * d) = 50

Multiply a * c
(20a2) + (6ab) + (6ac) + (6a * d) = 50

Multiply a * d
(20a2) + (6ab) + (6ac) + (6ad) = 50

Reorder the terms:
(6ab) + (6ac) + (6ad) + (20a2) = 50

Solving
(6ab) + (6ac) + (6ad) + (20a2) = 50

Solving for variable 'a'.

Reorder the terms:
-50 + (6ab) + (6ac) + (6ad) + (20a2) = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + (6ab) + (6ac) + (6ad) + (20a2) = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + (3ab) + (3ac) + (3ad) + (10a2)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-25 + (3ab) + (3ac) + (3ad) + (10a2))' equal to zero and attempt to solve:

Simplifying
-25 + (3ab) + (3ac) + (3ad) + (10a2) = 0

Solving
-25 + (3ab) + (3ac) + (3ad) + (10a2) = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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