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

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


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

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

Reorder the terms:
-99c + 9c2 + 10(-3 + 5c) = 3c(c + 5) + c(6c) + -30
-99c + 9c2 + (-3 * 10 + 5c * 10) = 3c(c + 5) + c(6c) + -30
-99c + 9c2 + (-30 + 50c) = 3c(c + 5) + c(6c) + -30

Reorder the terms:
-30 + -99c + 50c + 9c2 = 3c(c + 5) + c(6c) + -30

Combine like terms: -99c + 50c = -49c
-30 + -49c + 9c2 = 3c(c + 5) + c(6c) + -30

Reorder the terms:
-30 + -49c + 9c2 = 3c(5 + c) + c(6c) + -30
-30 + -49c + 9c2 = (5 * 3c + c * 3c) + c(6c) + -30
-30 + -49c + 9c2 = (15c + 3c2) + c(6c) + -30

Remove parenthesis around (6c)
-30 + -49c + 9c2 = 15c + 3c2 + c * 6c + -30

Reorder the terms for easier multiplication:
-30 + -49c + 9c2 = 15c + 3c2 + 6c * c + -30

Multiply c * c
-30 + -49c + 9c2 = 15c + 3c2 + 6c2 + -30

Reorder the terms:
-30 + -49c + 9c2 = -30 + 15c + 3c2 + 6c2

Combine like terms: 3c2 + 6c2 = 9c2
-30 + -49c + 9c2 = -30 + 15c + 9c2

Add '30' to each side of the equation.
-30 + -49c + 30 + 9c2 = -30 + 15c + 30 + 9c2

Reorder the terms:
-30 + 30 + -49c + 9c2 = -30 + 15c + 30 + 9c2

Combine like terms: -30 + 30 = 0
0 + -49c + 9c2 = -30 + 15c + 30 + 9c2
-49c + 9c2 = -30 + 15c + 30 + 9c2

Reorder the terms:
-49c + 9c2 = -30 + 30 + 15c + 9c2

Combine like terms: -30 + 30 = 0
-49c + 9c2 = 0 + 15c + 9c2
-49c + 9c2 = 15c + 9c2

Add '-9c2' to each side of the equation.
-49c + 9c2 + -9c2 = 15c + 9c2 + -9c2

Combine like terms: 9c2 + -9c2 = 0
-49c + 0 = 15c + 9c2 + -9c2
-49c = 15c + 9c2 + -9c2

Combine like terms: 9c2 + -9c2 = 0
-49c = 15c + 0
-49c = 15c

Solving
-49c = 15c

Solving for variable 'c'.

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

Add '-15c' to each side of the equation.
-49c + -15c = 15c + -15c

Combine like terms: -49c + -15c = -64c
-64c = 15c + -15c

Combine like terms: 15c + -15c = 0
-64c = 0

Divide each side by '-64'.
c = 0

Simplifying
c = 0

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