What is the answer to 3=-2|41s-5|+3 ?

The answer to 3=-2|41s-5|+3 is s= 5/41

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3=-2|41s-5|+3

3 = - 2 ∣ 41 s - 5 ∣ + 3

s = \frac{5}{41}

Decimal Notation

s = 0.12195 \dots

Solution steps

3 = - 2 ∣ 41 s - 5 ∣ + 3

Subtract

3

from both sides

3 - 3 = - 2 ∣ 41 s - 5 ∣ + 3 - 3

Simplify

0 = - 2 ∣ 41 s - 5 ∣

Switch sides

- 2 ∣ 41 s - 5 ∣ = 0

Divide both sides by

- 2

∣ 41 s - 5 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

41 s - 5 = 0

41 s - 5 = 0 : s = \frac{5}{41}

s = \frac{5}{41}

x^{2} + x - 28 = 28

∣ x + 5 ∣ = - 9

∣ x + 5 ∣ = - 4

∣ x + 5 ∣ = - 6

∣ x + 5 ∣ = 11