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Simplifying
6c * 8c + -1(6c + -2c)(8c + -2c) = 0
Reorder the terms for easier multiplication:
6 * 8c * c + -1(6c + -2c)(8c + -2c) = 0
Multiply 6 * 8
48c * c + -1(6c + -2c)(8c + -2c) = 0
Multiply c * c
48c2 + -1(6c + -2c)(8c + -2c) = 0
Combine like terms: 6c + -2c = 4c
48c2 + -1(4c)(8c + -2c) = 0
Remove parenthesis around (4c)
48c2 + -1 * 4c(8c + -2c) = 0
Combine like terms: 8c + -2c = 6c
48c2 + -1 * 4c(6c) = 0
Remove parenthesis around (6c)
48c2 + -1 * 4c * 6c = 0
Reorder the terms for easier multiplication:
48c2 + -1 * 4 * 6c * c = 0
Multiply -1 * 4
48c2 + -4 * 6c * c = 0
Multiply -4 * 6
48c2 + -24c * c = 0
Multiply c * c
48c2 + -24c2 = 0
Combine like terms: 48c2 + -24c2 = 24c2
24c2 = 0
Solving
24c2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Divide each side by '24'.
c2 = 0
Simplifying
c2 = 0
Take the square root of each side:
c = {0}
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