What is the answer to -7=5|f|-9 ?

The answer to -7=5|f|-9 is f=-2/5 \lor f= 2/5

Solve for f: -7=5|f|-9

The solution is f=-2/5 \lor f= 2/5

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- 7 = 5 ∣ f ∣ - 9

f = - \frac{2}{5} or f = \frac{2}{5}

Decimal Notation

f = - 0.4, f = 0.4

Solution steps

- 7 = 5 ∣ f ∣ - 9

Switch sides

5 ∣ f ∣ - 9 = - 7

Move

9

to the right side

5 ∣ f ∣ = 2

Divide both sides by

5

∣ f ∣ = \frac{2}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

f = - \frac{2}{5} or f = \frac{2}{5}

- 93 = - ∣ h ∣

∣ x ∣ + 7 = 43

8 - 6 ∣ 5 x - 2 ∣ = - 46

∣ x ∣ + 7 = 12

x, ∣ x - 2 ∣ = 4