Question

for x |4x+4|-34=-10 there is more than one solution. Find all the values of x that satisfy this equation.

Answer 1

The equation |4x+4|-34=-10 has two solutions. By isolating the absolute value, we find x=5 and x=-7.

Step-by-step explanation:

To solve the equation |4x+4|-34=-10, we first need to isolate the absolute value expression. We can start by adding 34 to both sides of the equation to get |4x+4|=24. The absolute value equation |a|=b means that a can be either b or -b. Therefore, 4x+4 can equal to 24 or -24.

For 4x+4=24, we subtract 4 from both sides and then divide by 4 to get one solution: x=5. Similarly, for 4x+4=-24, after subtracting 4 and dividing by 4, we get another solution: x=-7.

There are two solutions to this equation: x=5 and x=-7.