9c(c-11)+10(5-3)=3c(c+5)+c(6c-3)-30

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Solution for 9c(c-11)+10(5-3)=3c(c+5)+c(6c-3)-30 equation: 


Simplifying
9c(c + -11) + 10(5 + -3) = 3c(c + 5) + c(6c + -3) + -30

Reorder the terms:
9c(-11 + c) + 10(5 + -3) = 3c(c + 5) + c(6c + -3) + -30
(-11 * 9c + c * 9c) + 10(5 + -3) = 3c(c + 5) + c(6c + -3) + -30
(-99c + 9c2) + 10(5 + -3) = 3c(c + 5) + c(6c + -3) + -30

Combine like terms: 5 + -3 = 2
-99c + 9c2 + 10(2) = 3c(c + 5) + c(6c + -3) + -30

Multiply 10 * 2
-99c + 9c2 + 20 = 3c(c + 5) + c(6c + -3) + -30

Reorder the terms:
20 + -99c + 9c2 = 3c(c + 5) + c(6c + -3) + -30

Reorder the terms:
20 + -99c + 9c2 = 3c(5 + c) + c(6c + -3) + -30
20 + -99c + 9c2 = (5 * 3c + c * 3c) + c(6c + -3) + -30
20 + -99c + 9c2 = (15c + 3c2) + c(6c + -3) + -30

Reorder the terms:
20 + -99c + 9c2 = 15c + 3c2 + c(-3 + 6c) + -30
20 + -99c + 9c2 = 15c + 3c2 + (-3 * c + 6c * c) + -30
20 + -99c + 9c2 = 15c + 3c2 + (-3c + 6c2) + -30

Reorder the terms:
20 + -99c + 9c2 = -30 + 15c + -3c + 3c2 + 6c2

Combine like terms: 15c + -3c = 12c
20 + -99c + 9c2 = -30 + 12c + 3c2 + 6c2

Combine like terms: 3c2 + 6c2 = 9c2
20 + -99c + 9c2 = -30 + 12c + 9c2

Add '-9c2' to each side of the equation.
20 + -99c + 9c2 + -9c2 = -30 + 12c + 9c2 + -9c2

Combine like terms: 9c2 + -9c2 = 0
20 + -99c + 0 = -30 + 12c + 9c2 + -9c2
20 + -99c = -30 + 12c + 9c2 + -9c2

Combine like terms: 9c2 + -9c2 = 0
20 + -99c = -30 + 12c + 0
20 + -99c = -30 + 12c

Solving
20 + -99c = -30 + 12c

Solving for variable 'c'.

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

Add '-12c' to each side of the equation.
20 + -99c + -12c = -30 + 12c + -12c

Combine like terms: -99c + -12c = -111c
20 + -111c = -30 + 12c + -12c

Combine like terms: 12c + -12c = 0
20 + -111c = -30 + 0
20 + -111c = -30

Add '-20' to each side of the equation.
20 + -20 + -111c = -30 + -20

Combine like terms: 20 + -20 = 0
0 + -111c = -30 + -20
-111c = -30 + -20

Combine like terms: -30 + -20 = -50
-111c = -50

Divide each side by '-111'.
c = 0.4504504505

Simplifying
c = 0.4504504505

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