Question

Solve for x: −3|2x + 6| = −12

x = 1 and x = 5

x = −1 and x = −5

x = −9 and x = 3

No solution

Answer 1

first divide both sides by -3 to give

|2x + 6| = 4

now, do you know what the vertical lines on either side of 2x + 6 mean?

Answer 2

i have no idea :/

Answer 3

Is that what shows where to split each equation?

Answer 4

it means the absolute value of 2x + 6
in other words whether 2x + 6 is negative or positive you take the positive value

so 2x + 6 can be positive or negative so we write 2 equations

2x + 6 = 4 and 2x + 6 = -4

solve these 2 to get your answer

Answer 5

ok can you do that?
do you understand absolute value?