What is the answer to |7x|=4-x ?

The answer to |7x|=4-x is x=-2/3 \lor x= 1/2

Solve for x: |7x|=4-x

The solution is x=-2/3 \lor x= 1/2

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∣ 7 x ∣ = 4 - x

x = - \frac{2}{3} or x = \frac{1}{2}

Decimal Notation

x = - 0.66666 \dots, x = 0.5

Solution steps

∣ 7 x ∣ = 4 - x

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{2}{3} or x = \frac{1}{2}

j = - 1

(x - 25) (5 x - 1) = 0

3 x^{2} - 4 x - 5 = 0

6 y^{2} - 5 y - 21

\frac{5}{4 - i}