Question

find the missing number so that the equation has no solutions. x + 15 + \square x = -3x + 6

Explanation:

Step1: Let missing value = $a$

Rewrite equation: $x + 15 + ax = -3x + 6$

Step2: Combine like x terms

$(1+a)x + 15 = -3x + 6$

Step3: Set x coefficients equal

For no solutions, $1+a = -3$
Solve: $a = -3 - 1 = -4$

Step4: Verify constant terms

With $a=-4$, left constant=15, right=6. $15
eq6$, so no solutions.

Answer:

$-4$