(2a^2+b^2-x+d)+(3b^2+c-a^2)+(c-2d+a^2-4b^2)=

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Solution for (2a^2+b^2-x+d)+(3b^2+c-a^2)+(c-2d+a^2-4b^2)= equation:


Simplifying
(2a2 + b2 + -1x + d) + (3b2 + c + -1a2) + (c + -2d + a2 + -4b2) = 0

Reorder the terms:
(2a2 + b2 + d + -1x) + (3b2 + c + -1a2) + (c + -2d + a2 + -4b2) = 0

Remove parenthesis around (2a2 + b2 + d + -1x)
2a2 + b2 + d + -1x + (3b2 + c + -1a2) + (c + -2d + a2 + -4b2) = 0

Reorder the terms:
2a2 + b2 + d + -1x + (-1a2 + 3b2 + c) + (c + -2d + a2 + -4b2) = 0

Remove parenthesis around (-1a2 + 3b2 + c)
2a2 + b2 + d + -1x + -1a2 + 3b2 + c + (c + -2d + a2 + -4b2) = 0

Reorder the terms:
2a2 + b2 + d + -1x + -1a2 + 3b2 + c + (a2 + -4b2 + c + -2d) = 0

Remove parenthesis around (a2 + -4b2 + c + -2d)
2a2 + b2 + d + -1x + -1a2 + 3b2 + c + a2 + -4b2 + c + -2d = 0

Reorder the terms:
2a2 + -1a2 + a2 + b2 + 3b2 + -4b2 + c + c + d + -2d + -1x = 0

Combine like terms: 2a2 + -1a2 = 1a2
1a2 + a2 + b2 + 3b2 + -4b2 + c + c + d + -2d + -1x = 0

Combine like terms: 1a2 + a2 = 2a2
2a2 + b2 + 3b2 + -4b2 + c + c + d + -2d + -1x = 0

Combine like terms: b2 + 3b2 = 4b2
2a2 + 4b2 + -4b2 + c + c + d + -2d + -1x = 0

Combine like terms: 4b2 + -4b2 = 0
2a2 + 0 + c + c + d + -2d + -1x = 0
2a2 + c + c + d + -2d + -1x = 0

Combine like terms: c + c = 2c
2a2 + 2c + d + -2d + -1x = 0

Combine like terms: d + -2d = -1d
2a2 + 2c + -1d + -1x = 0

Solving
2a2 + 2c + -1d + -1x = 0

Solving for variable 'a'.

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

Add '-2c' to each side of the equation.
2a2 + 2c + -1d + -2c + -1x = 0 + -2c

Reorder the terms:
2a2 + 2c + -2c + -1d + -1x = 0 + -2c

Combine like terms: 2c + -2c = 0
2a2 + 0 + -1d + -1x = 0 + -2c
2a2 + -1d + -1x = 0 + -2c
Remove the zero:
2a2 + -1d + -1x = -2c

Add 'd' to each side of the equation.
2a2 + -1d + d + -1x = -2c + d

Combine like terms: -1d + d = 0
2a2 + 0 + -1x = -2c + d
2a2 + -1x = -2c + d

Add 'x' to each side of the equation.
2a2 + -1x + x = -2c + d + x

Combine like terms: -1x + x = 0
2a2 + 0 = -2c + d + x
2a2 = -2c + d + x

Divide each side by '2'.
a2 = -1c + 0.5d + 0.5x

Simplifying
a2 = -1c + 0.5d + 0.5x

Reorder the terms:
a2 + c + -0.5d + -0.5x = -1c + c + 0.5d + -0.5d + 0.5x + -0.5x

Combine like terms: -1c + c = 0
a2 + c + -0.5d + -0.5x = 0 + 0.5d + -0.5d + 0.5x + -0.5x
a2 + c + -0.5d + -0.5x = 0.5d + -0.5d + 0.5x + -0.5x

Combine like terms: 0.5d + -0.5d = 0.0
a2 + c + -0.5d + -0.5x = 0.0 + 0.5x + -0.5x
a2 + c + -0.5d + -0.5x = 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
a2 + c + -0.5d + -0.5x = 0.0

The solution to this equation could not be determined.

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