(7c-3)[2]=49c[2]

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

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

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

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

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

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

Solving
-6 + 14c = 98c

Solving for variable 'c'.

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

Add '-98c' to each side of the equation.
-6 + 14c + -98c = 98c + -98c

Combine like terms: 14c + -98c = -84c
-6 + -84c = 98c + -98c

Combine like terms: 98c + -98c = 0
-6 + -84c = 0

Add '6' to each side of the equation.
-6 + 6 + -84c = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -84c = 0 + 6
-84c = 0 + 6

Combine like terms: 0 + 6 = 6
-84c = 6

Divide each side by '-84'.
c = -0.07142857143

Simplifying
c = -0.07142857143