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Simplifying
c2 + -3 + -6c2 = 9 + -7c2 + -11
Reorder the terms:
-3 + c2 + -6c2 = 9 + -7c2 + -11
Combine like terms: c2 + -6c2 = -5c2
-3 + -5c2 = 9 + -7c2 + -11
Reorder the terms:
-3 + -5c2 = 9 + -11 + -7c2
Combine like terms: 9 + -11 = -2
-3 + -5c2 = -2 + -7c2
Solving
-3 + -5c2 = -2 + -7c2
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '7c2' to each side of the equation.
-3 + -5c2 + 7c2 = -2 + -7c2 + 7c2
Combine like terms: -5c2 + 7c2 = 2c2
-3 + 2c2 = -2 + -7c2 + 7c2
Combine like terms: -7c2 + 7c2 = 0
-3 + 2c2 = -2 + 0
-3 + 2c2 = -2
Add '3' to each side of the equation.
-3 + 3 + 2c2 = -2 + 3
Combine like terms: -3 + 3 = 0
0 + 2c2 = -2 + 3
2c2 = -2 + 3
Combine like terms: -2 + 3 = 1
2c2 = 1
Divide each side by '2'.
c2 = 0.5
Simplifying
c2 = 0.5
Take the square root of each side:
c = {-0.707106781, 0.707106781}
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