(18a^3-12b^2+3c)-(7a^3+13b^2-7c)=

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Solution for (18a^3-12b^2+3c)-(7a^3+13b^2-7c)= equation: 


Simplifying
(18a3 + -12b2 + 3c) + -1(7a3 + 13b2 + -7c) = 0

Remove parenthesis around (18a3 + -12b2 + 3c)
18a3 + -12b2 + 3c + -1(7a3 + 13b2 + -7c) = 0
18a3 + -12b2 + 3c + (7a3 * -1 + 13b2 * -1 + -7c * -1) = 0
18a3 + -12b2 + 3c + (-7a3 + -13b2 + 7c) = 0

Reorder the terms:
18a3 + -7a3 + -12b2 + -13b2 + 3c + 7c = 0

Combine like terms: 18a3 + -7a3 = 11a3
11a3 + -12b2 + -13b2 + 3c + 7c = 0

Combine like terms: -12b2 + -13b2 = -25b2
11a3 + -25b2 + 3c + 7c = 0

Combine like terms: 3c + 7c = 10c
11a3 + -25b2 + 10c = 0

Solving
11a3 + -25b2 + 10c = 0

Solving for variable 'a'.

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

Add '25b2' to each side of the equation.
11a3 + -25b2 + 25b2 + 10c = 0 + 25b2

Combine like terms: -25b2 + 25b2 = 0
11a3 + 0 + 10c = 0 + 25b2
11a3 + 10c = 0 + 25b2
Remove the zero:
11a3 + 10c = 25b2

Add '-10c' to each side of the equation.
11a3 + 10c + -10c = 25b2 + -10c

Combine like terms: 10c + -10c = 0
11a3 + 0 = 25b2 + -10c
11a3 = 25b2 + -10c

Divide each side by '11'.
a3 = 2.272727273b2 + -0.9090909091c

Simplifying
a3 = 2.272727273b2 + -0.9090909091c

Reorder the terms:
a3 + -2.272727273b2 + 0.9090909091c = 2.272727273b2 + -2.272727273b2 + -0.9090909091c + 0.9090909091c

Combine like terms: 2.272727273b2 + -2.272727273b2 = 0.000000000
a3 + -2.272727273b2 + 0.9090909091c = 0.000000000 + -0.9090909091c + 0.9090909091c
a3 + -2.272727273b2 + 0.9090909091c = -0.9090909091c + 0.9090909091c

Combine like terms: -0.9090909091c + 0.9090909091c = 0.0000000000
a3 + -2.272727273b2 + 0.9090909091c = 0.0000000000

The solution to this equation could not be determined.

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