Answer: x = 6 or x = -6
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Work Shown:
|4x| + 1 = 25
|4x| = 25-1
|4x| = 24
4x = 24 or 4x = -24
x = 24/4 or x = -24/4
x = 6 or x = -6
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Check:
Let's plug x = 6 into the original equation and simplify both sides.
|4x| + 1 = 25
|4*6| + 1 = 25
|24| + 1 = 25
24 + 1 = 25
25 = 25
This confirms x = 6 is a solution.
The steps for x = -6 will be very similar.