(6a^2-7b+3c^3+4)-(9a^2+6b-3c^3+4)=

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Solution for (6a^2-7b+3c^3+4)-(9a^2+6b-3c^3+4)= equation: 


Simplifying
(6a2 + -7b + 3c3 + 4) + -1(9a2 + 6b + -3c3 + 4) = 0

Reorder the terms:
(4 + 6a2 + -7b + 3c3) + -1(9a2 + 6b + -3c3 + 4) = 0

Remove parenthesis around (4 + 6a2 + -7b + 3c3)
4 + 6a2 + -7b + 3c3 + -1(9a2 + 6b + -3c3 + 4) = 0

Reorder the terms:
4 + 6a2 + -7b + 3c3 + -1(4 + 9a2 + 6b + -3c3) = 0
4 + 6a2 + -7b + 3c3 + (4 * -1 + 9a2 * -1 + 6b * -1 + -3c3 * -1) = 0
4 + 6a2 + -7b + 3c3 + (-4 + -9a2 + -6b + 3c3) = 0

Reorder the terms:
4 + -4 + 6a2 + -9a2 + -7b + -6b + 3c3 + 3c3 = 0

Combine like terms: 4 + -4 = 0
0 + 6a2 + -9a2 + -7b + -6b + 3c3 + 3c3 = 0
6a2 + -9a2 + -7b + -6b + 3c3 + 3c3 = 0

Combine like terms: 6a2 + -9a2 = -3a2
-3a2 + -7b + -6b + 3c3 + 3c3 = 0

Combine like terms: -7b + -6b = -13b
-3a2 + -13b + 3c3 + 3c3 = 0

Combine like terms: 3c3 + 3c3 = 6c3
-3a2 + -13b + 6c3 = 0

Solving
-3a2 + -13b + 6c3 = 0

Solving for variable 'a'.

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

Add '13b' to each side of the equation.
-3a2 + -13b + 13b + 6c3 = 0 + 13b

Combine like terms: -13b + 13b = 0
-3a2 + 0 + 6c3 = 0 + 13b
-3a2 + 6c3 = 0 + 13b
Remove the zero:
-3a2 + 6c3 = 13b

Add '-6c3' to each side of the equation.
-3a2 + 6c3 + -6c3 = 13b + -6c3

Combine like terms: 6c3 + -6c3 = 0
-3a2 + 0 = 13b + -6c3
-3a2 = 13b + -6c3

Divide each side by '-3'.
a2 = -4.333333333b + 2c3

Simplifying
a2 = -4.333333333b + 2c3

Reorder the terms:
a2 + 4.333333333b + -2c3 = -4.333333333b + 4.333333333b + 2c3 + -2c3

Combine like terms: -4.333333333b + 4.333333333b = 0.000000000
a2 + 4.333333333b + -2c3 = 0.000000000 + 2c3 + -2c3
a2 + 4.333333333b + -2c3 = 2c3 + -2c3

Combine like terms: 2c3 + -2c3 = 0
a2 + 4.333333333b + -2c3 = 0

The solution to this equation could not be determined.

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