Divide both sides by 3:
|4x + 6| = 8
Now remove the absolute value:
4x + 6 = 8
or
4x + 6 = -8
Subtract both sides by 6:
4x = 2
or
4x = -14
Divide both sides by 4:
x = 1/2
or
x = -7/2
Final answer: x = 1/2 or x = -7/2
Rectangle diagonals are equal.
2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0
AC = 2(5a+1) = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2 <span>
</span>BD = 2(a+1) = 2(0 + 1) = 2 <span>× 1 = 2
</span>
Ansver: AC = BD = 2