what is the solution to -4|-2x + 6| = -24?\n x = 0\n x = 0 or x = -6\n x = 0 or x = 6\n no solution
what is the solution to -4|-2x + 6| = -24?\n x = 0\n x = 0 or x = -6\n x = 0 or x = 6\n no solution
Answer
Explanation:
Step1: Isolate the absolute - value expression
Divide both sides of the equation (-4|-2x + 6|=-24) by (-4). (\frac{-4|-2x + 6|}{-4}=\frac{-24}{-4}), which simplifies to (|-2x + 6| = 6).
Step2: Set up two cases
Case 1: (-2x+6 = 6). Subtract 6 from both sides: (-2x+6 - 6=6 - 6), so (-2x=0). Divide both sides by (-2): (x = 0). Case 2: (-2x + 6=-6). Subtract 6 from both sides: (-2x+6 - 6=-6 - 6), so (-2x=-12). Divide both sides by (-2): (x = 6).
Answer:
C. (x = 0) or (x = 6)