What is the answer to |4x-7|=21 ?

The answer to |4x-7|=21 is x=-7/2 \lor x=7

Solve for x: |4x-7|=21

The solution is x=-7/2 \lor x=7

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∣ 4 x - 7 ∣ = 21

x = - \frac{7}{2} or x = 7

Decimal Notation

x = - 3.5, x = 7

Solution steps

∣ 4 x - 7 ∣ = 21

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 7 = - 21 or 4 x - 7 = 21

4 x - 7 = - 21 or 4 x - 7 = 21

x = - \frac{7}{2} or x = 7

x^{2} - 6 x - 3 = 0

\frac{2 ( \frac{4}{3} )}{1 - ( \frac{4}{3} ) ^{2}}

\frac{1}{3} + 4

x^{2} + 484 = 0

2. 8^{2}