-2c^2-8=56-3c^2

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Solution for -2c^2-8=56-3c^2 equation: 


Simplifying
-2c2 + -8 = 56 + -3c2

Reorder the terms:
-8 + -2c2 = 56 + -3c2

Solving
-8 + -2c2 = 56 + -3c2

Solving for variable 'c'.

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

Add '3c2' to each side of the equation.
-8 + -2c2 + 3c2 = 56 + -3c2 + 3c2

Combine like terms: -2c2 + 3c2 = 1c2
-8 + 1c2 = 56 + -3c2 + 3c2

Combine like terms: -3c2 + 3c2 = 0
-8 + 1c2 = 56 + 0
-8 + 1c2 = 56

Add '8' to each side of the equation.
-8 + 8 + 1c2 = 56 + 8

Combine like terms: -8 + 8 = 0
0 + 1c2 = 56 + 8
1c2 = 56 + 8

Combine like terms: 56 + 8 = 64
1c2 = 64

Divide each side by '1'.
c2 = 64

Simplifying
c2 = 64

Take the square root of each side:
c = {-8, 8}

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