[2.07] Solve 3|2x + 2| − 7 = 5 for x.

Question

anonymous · Answer

3|2x + 2| − 7 = 5
l2x+2l = 4
$$(2x+2)^{2} = 16$$
$$4x ^{2}+8x+4=16$$$$4x ^{2}+8x-12=0$$$$x ^{2}+2x-3=0$$
(x - 1)(x + 3) = 0
therefore x=1 or x=-3

anonymous · Answer

thanks i think im getting it and just as i start to understand the next quesiton is [2.07] Create an absolute value equation that has two solutions. Explain why this equation has two solutions.

anonymous · Answer

what do i do now??!! :(

sw050399 · Answer

3|2x + 2| - 7 = 5
3|2x + 2| = 12
|2x + 2| = 4

From here, you can get:
2x + 2 = 4 and 2x + 2 = -4 due to the absolute value bars

Solving 2x + 2 =4:
2x + 2 = 4
2x = 2
x = 1

Solving 2x + 2 = -4:
2x = -6
x = -3

anonymous · Answer

yea that is correct

anonymous · Answer

infact the method u used is wat ur supposed to use, so dont use my working, ur working is the right one

anonymous · Answer

wow thank you

anonymous · Answer

:) keep it up