What is the answer to -|4x-2|-10=-21 ?

The answer to -|4x-2|-10=-21 is x=-9/4 \lor x= 13/4

Solve for x: -|4x-2|-10=-21

The solution is x=-9/4 \lor x= 13/4

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- ∣ 4 x - 2 ∣ - 10 = - 21

x = - \frac{9}{4} or x = \frac{13}{4}

Decimal Notation

x = - 2.25, x = 3.25

Solution steps

- ∣ 4 x - 2 ∣ - 10 = - 21

Move

10

to the right side

- ∣ 4 x - 2 ∣ = - 11

Divide both sides by

- 1

∣ 4 x - 2 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 2 = - 11 or 4 x - 2 = 11

4 x - 2 = - 11 or 4 x - 2 = 11

x = - \frac{9}{4} or x = \frac{13}{4}

36 - 25 x^{2} \geq 0

25 a^{2} - \frac{1}{9} b^{2}

2 \cdot \frac{2}{5}

\frac{( x + 5 ) ( x + 1 )}{x - 4} \geq 0

3 t - 4.9 t^{2} = 0

What is the answer to -|4x-2|-10=-21 ?
The answer to -|4x-2|-10=-21 is x=-9/4 \lor x= 13/4
Solve for x: -|4x-2|-10=-21
The solution is x=-9/4 \lor x= 13/4