What is the solution to -4|-2x+6| = -24 O x = 0 O x = 0 or x = -6 O x = 0 or x = 6 O no solution
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the absolute function:
-4| -2x + 6 | = -24
Determine the solution.
Solution:
In order to solve for the solution, we simply need to distribute first -4 on each values inside the absolute value sign.
-4| -2x + 6 | = -24
|8x -24| = -24
Being enclosed with an absolute value sign means that the value will be equal to the positive value of the number, even though if it is negative. To clearly understand this, the absolute value of a positive number is positive, and the absolute value of a negative number is also positive. Therefore, -24 in the equation will become 24.
|8x -24| = -24
8x + 24 = -24
Transpose 24 on the other side of the equation, note that when transposing a number, the sign changes.
8x = -24 - 24
8x = -48
Divide both sides by 8 in order to get the value of x.
x = -6
Final answer:
x = -6