What is the answer to 43=|c+21| ?

The answer to 43=|c+21| is c=-64\lor c=22

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43=|c+21|

43 = ∣ c + 21 ∣

c = - 64 or c = 22

Solution steps

43 = ∣ c + 21 ∣

Switch sides

∣ c + 21 ∣ = 43

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

c + 21 = - 43 or c + 21 = 43

c + 21 = - 43 or c + 21 = 43

c = - 64 or c = 22

∣ x + 2 ∣ = 4 + 2 x

x^{2} - 16 = x^{2} - 16

∣ 2 x - 1 ∣ = x - 6

∣ 5 x - 2 ∣ = 3 x + 5

- 2 ∣ x + 3 ∣ = - 10