(7c-3)[2]=49c[2]-21c+9

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Solution for (7c-3)[2]=49c[2]-21c+9 equation:


Simplifying
(7c + -3)[2] = 49c[2] + -21c + 9

Reorder the terms:
(-3 + 7c)[2] = 49c[2] + -21c + 9

Reorder the terms for easier multiplication:
2(-3 + 7c) = 49c[2] + -21c + 9
(-3 * 2 + 7c * 2) = 49c[2] + -21c + 9
(-6 + 14c) = 49c[2] + -21c + 9

Reorder the terms for easier multiplication:
-6 + 14c = 49 * 2c + -21c + 9

Multiply 49 * 2
-6 + 14c = 98c + -21c + 9

Reorder the terms:
-6 + 14c = 9 + 98c + -21c

Combine like terms: 98c + -21c = 77c
-6 + 14c = 9 + 77c

Solving
-6 + 14c = 9 + 77c

Solving for variable 'c'.

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

Add '-77c' to each side of the equation.
-6 + 14c + -77c = 9 + 77c + -77c

Combine like terms: 14c + -77c = -63c
-6 + -63c = 9 + 77c + -77c

Combine like terms: 77c + -77c = 0
-6 + -63c = 9 + 0
-6 + -63c = 9

Add '6' to each side of the equation.
-6 + 6 + -63c = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -63c = 9 + 6
-63c = 9 + 6

Combine like terms: 9 + 6 = 15
-63c = 15

Divide each side by '-63'.
c = -0.2380952381

Simplifying
c = -0.2380952381

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