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

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


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

Multiply x * b
(20a2) + (6bx) + (6x * c) + (6x * d) = 50

Multiply x * c
(20a2) + (6bx) + (6cx) + (6x * d) = 50

Multiply x * d
(20a2) + (6bx) + (6cx) + (6dx) = 50

Solving
(20a2) + (6bx) + (6cx) + (6dx) = 50

Solving for variable 'a'.

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

Add '(-6bx)' to each side of the equation.
(20a2) + (6bx) + (6cx) + (-6bx) + (6dx) = 50 + (-6bx)

Reorder the terms:
(20a2) + (6bx) + (-6bx) + (6cx) + (6dx) = 50 + (-6bx)

Combine like terms: (6bx) + (-6bx) = 0
(20a2) + 0 + (6cx) + (6dx) = 50 + (-6bx)
(20a2) + (6cx) + (6dx) = 50 + (-6bx)

Add '(-6cx)' to each side of the equation.
(20a2) + (6cx) + (-6cx) + (6dx) = 50 + (-6bx) + (-6cx)

Combine like terms: (6cx) + (-6cx) = 0
(20a2) + 0 + (6dx) = 50 + (-6bx) + (-6cx)
(20a2) + (6dx) = 50 + (-6bx) + (-6cx)

Add '(-6dx)' to each side of the equation.
(20a2) + (6dx) + (-6dx) = 50 + (-6bx) + (-6cx) + (-6dx)

Combine like terms: (6dx) + (-6dx) = 0
(20a2) + 0 = 50 + (-6bx) + (-6cx) + (-6dx)
(20a2) = 50 + (-6bx) + (-6cx) + (-6dx)

Divide each side by '20'.
a2 = 2.5 + (-0.3bx) + (-0.3cx) + (-0.3dx)

Simplifying
a2 = 2.5 + (-0.3bx) + (-0.3cx) + (-0.3dx)

Reorder the terms:
-2.5 + a2 + (0.3bx) + (0.3cx) + (0.3dx) = 2.5 + (-0.3bx) + (-0.3cx) + (-0.3dx) + -2.5 + (0.3bx) + (0.3cx) + (0.3dx)

Reorder the terms:
-2.5 + a2 + (0.3bx) + (0.3cx) + (0.3dx) = 2.5 + -2.5 + (-0.3bx) + (0.3bx) + (-0.3cx) + (0.3cx) + (-0.3dx) + (0.3dx)

Combine like terms: 2.5 + -2.5 = 0.0
-2.5 + a2 + (0.3bx) + (0.3cx) + (0.3dx) = 0.0 + (-0.3bx) + (0.3bx) + (-0.3cx) + (0.3cx) + (-0.3dx) + (0.3dx)
-2.5 + a2 + (0.3bx) + (0.3cx) + (0.3dx) = (-0.3bx) + (0.3bx) + (-0.3cx) + (0.3cx) + (-0.3dx) + (0.3dx)

Combine like terms: (-0.3bx) + (0.3bx) = 0.0
-2.5 + a2 + (0.3bx) + (0.3cx) + (0.3dx) = 0.0 + (-0.3cx) + (0.3cx) + (-0.3dx) + (0.3dx)
-2.5 + a2 + (0.3bx) + (0.3cx) + (0.3dx) = (-0.3cx) + (0.3cx) + (-0.3dx) + (0.3dx)

Combine like terms: (-0.3cx) + (0.3cx) = 0.0
-2.5 + a2 + (0.3bx) + (0.3cx) + (0.3dx) = 0.0 + (-0.3dx) + (0.3dx)
-2.5 + a2 + (0.3bx) + (0.3cx) + (0.3dx) = (-0.3dx) + (0.3dx)

Combine like terms: (-0.3dx) + (0.3dx) = 0.0
-2.5 + a2 + (0.3bx) + (0.3cx) + (0.3dx) = 0.0

The solution to this equation could not be determined.

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