What is the answer to 5|c+3|-1=9 ?

The answer to 5|c+3|-1=9 is c=-5\lor c=-1

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5|c+3|-1=9

5 ∣ c + 3 ∣ - 1 = 9

c = - 5 or c = - 1

Solution steps

5 ∣ c + 3 ∣ - 1 = 9

Move

1

to the right side

5 ∣ c + 3 ∣ = 10

Divide both sides by

5

∣ c + 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

c + 3 = - 2 or c + 3 = 2

c + 3 = - 2 or c + 3 = 2

c = - 5 or c = - 1

3 x + 20 = 7 x

- x^{2} + 15 x = 73 - 3 x

3 \cdot \frac{2 π}{3}

\frac{1}{5} - \frac{1}{6}

\frac{x ^{2} + 1}{2} < 3