What is the answer to -4|q|=-9 ?

The answer to -4|q|=-9 is q=-9/4 \lor q= 9/4

Solve for q: -4|q|=-9

The solution is q=-9/4 \lor q= 9/4

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- 4 ∣ q ∣ = - 9

q = - \frac{9}{4} or q = \frac{9}{4}

Solution steps

- 4 ∣ q ∣ = - 9

Divide both sides by

- 4

∣ q ∣ = \frac{9}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

q = - \frac{9}{4} or q = \frac{9}{4}

∣ x - 12 ∣ = 14

x^{2} + 3 x - 15 = ∣ x + 3 ∣ + 8

- \frac{1}{2} x = 4

m, k = ∣ m ∣ + 3

∣ y - 1 ∣ = 36