Question

If 36 + 3(4x − 9) = c(2x + 1) + 25 has no solution and c is a constant, what is the value of c ?

Answer 1

The value of c is 6.

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Given equation:

• 36 + 3(4x - 9) = c(2x + 1) + 25

To find the value of c, we need to solve the equation and find the solution(s) for x.

Simplifying the equation, we get:

• 36 + 12x - 27 = 2cx + c + 25

Combining like terms, we have:

• 12x + 9 = 2cx + c + 25

Rearranging the terms, we get:

• 12x - 2cx + c = 25 - 9

Factoring out x, we have:

• 2x(6 - c) = 16 - c

Since the equation has no solution, the coefficient of x must be 0.

Therefore, 6 - c = 0 ⇒ c = 6.