(x-3)(c-4)=30

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Solution for (x-3)(c-4)=30 equation:


Simplifying
(x + -3)(c + -4) = 30

Reorder the terms:
(-3 + x)(c + -4) = 30

Reorder the terms:
(-3 + x)(-4 + c) = 30

Multiply (-3 + x) * (-4 + c)
(-3(-4 + c) + x(-4 + c)) = 30
((-4 * -3 + c * -3) + x(-4 + c)) = 30
((12 + -3c) + x(-4 + c)) = 30
(12 + -3c + (-4 * x + c * x)) = 30

Reorder the terms:
(12 + -3c + (cx + -4x)) = 30
(12 + -3c + (cx + -4x)) = 30
(12 + -3c + cx + -4x) = 30

Solving
12 + -3c + cx + -4x = 30

Solving for variable 'c'.

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

Add '-12' to each side of the equation.
12 + -3c + cx + -12 + -4x = 30 + -12

Reorder the terms:
12 + -12 + -3c + cx + -4x = 30 + -12

Combine like terms: 12 + -12 = 0
0 + -3c + cx + -4x = 30 + -12
-3c + cx + -4x = 30 + -12

Combine like terms: 30 + -12 = 18
-3c + cx + -4x = 18

Add '4x' to each side of the equation.
-3c + cx + -4x + 4x = 18 + 4x

Combine like terms: -4x + 4x = 0
-3c + cx + 0 = 18 + 4x
-3c + cx = 18 + 4x

Reorder the terms:
-18 + -3c + cx + -4x = 18 + 4x + -18 + -4x

Reorder the terms:
-18 + -3c + cx + -4x = 18 + -18 + 4x + -4x

Combine like terms: 18 + -18 = 0
-18 + -3c + cx + -4x = 0 + 4x + -4x
-18 + -3c + cx + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + -3c + cx + -4x = 0

The solution to this equation could not be determined.

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