(3c^2-8c+4)-(7+c^2-8c)=0

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Solution for (3c^2-8c+4)-(7+c^2-8c)=0 equation:


Simplifying
(3c2 + -8c + 4) + -1(7 + c2 + -8c) = 0

Reorder the terms:
(4 + -8c + 3c2) + -1(7 + c2 + -8c) = 0

Remove parenthesis around (4 + -8c + 3c2)
4 + -8c + 3c2 + -1(7 + c2 + -8c) = 0

Reorder the terms:
4 + -8c + 3c2 + -1(7 + -8c + c2) = 0
4 + -8c + 3c2 + (7 * -1 + -8c * -1 + c2 * -1) = 0
4 + -8c + 3c2 + (-7 + 8c + -1c2) = 0

Reorder the terms:
4 + -7 + -8c + 8c + 3c2 + -1c2 = 0

Combine like terms: 4 + -7 = -3
-3 + -8c + 8c + 3c2 + -1c2 = 0

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

Combine like terms: 3c2 + -1c2 = 2c2
-3 + 2c2 = 0

Solving
-3 + 2c2 = 0

Solving for variable 'c'.

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

Add '3' to each side of the equation.
-3 + 3 + 2c2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2c2 = 0 + 3
2c2 = 0 + 3

Combine like terms: 0 + 3 = 3
2c2 = 3

Divide each side by '2'.
c2 = 1.5

Simplifying
c2 = 1.5

Take the square root of each side:
c = {-1.224744871, 1.224744871}

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