(3x-c)(x-3)=12

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Solution for (3x-c)(x-3)=12 equation:


Simplifying
(3x + -1c)(x + -3) = 12

Reorder the terms:
(-1c + 3x)(x + -3) = 12

Reorder the terms:
(-1c + 3x)(-3 + x) = 12

Multiply (-1c + 3x) * (-3 + x)
(-1c * (-3 + x) + 3x * (-3 + x)) = 12
((-3 * -1c + x * -1c) + 3x * (-3 + x)) = 12
((3c + -1cx) + 3x * (-3 + x)) = 12
(3c + -1cx + (-3 * 3x + x * 3x)) = 12
(3c + -1cx + (-9x + 3x2)) = 12
(3c + -1cx + -9x + 3x2) = 12

Solving
3c + -1cx + -9x + 3x2 = 12

Solving for variable 'c'.

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

Add '9x' to each side of the equation.
3c + -1cx + -9x + 9x + 3x2 = 12 + 9x

Combine like terms: -9x + 9x = 0
3c + -1cx + 0 + 3x2 = 12 + 9x
3c + -1cx + 3x2 = 12 + 9x

Add '-3x2' to each side of the equation.
3c + -1cx + 3x2 + -3x2 = 12 + 9x + -3x2

Combine like terms: 3x2 + -3x2 = 0
3c + -1cx + 0 = 12 + 9x + -3x2
3c + -1cx = 12 + 9x + -3x2

Reorder the terms:
-12 + 3c + -1cx + -9x + 3x2 = 12 + 9x + -3x2 + -12 + -9x + 3x2

Reorder the terms:
-12 + 3c + -1cx + -9x + 3x2 = 12 + -12 + 9x + -9x + -3x2 + 3x2

Combine like terms: 12 + -12 = 0
-12 + 3c + -1cx + -9x + 3x2 = 0 + 9x + -9x + -3x2 + 3x2
-12 + 3c + -1cx + -9x + 3x2 = 9x + -9x + -3x2 + 3x2

Combine like terms: 9x + -9x = 0
-12 + 3c + -1cx + -9x + 3x2 = 0 + -3x2 + 3x2
-12 + 3c + -1cx + -9x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-12 + 3c + -1cx + -9x + 3x2 = 0

The solution to this equation could not be determined.

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