What is the answer to |4r+7|=43 ?

The answer to |4r+7|=43 is r=-25/2 \lor r=9

Solve for r: |4r+7|=43

The solution is r=-25/2 \lor r=9

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∣ 4 r + 7 ∣ = 43

r = - \frac{25}{2} or r = 9

Decimal Notation

r = - 12.5, r = 9

Solution steps

∣ 4 r + 7 ∣ = 43

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 r + 7 = - 43 or 4 r + 7 = 43

4 r + 7 = - 43 or 4 r + 7 = 43

r = - \frac{25}{2} or r = 9

∣ - 6 x ∣ = 48

x^{2} - x - 2 = 2 x + 2

- 5 ∣ x - 7 ∣ + 5 = - 20

∣ x ∣ + 10 = 15

\frac{n}{6} + 4 = 5