What is the answer to |3x+1|+|4x+9|=10 ?

The answer to |3x+1|+|4x+9|=10 is x=-20/7 \lor x=0

Solve for x: |3x+1|+|4x+9|=10

The solution is x=-20/7 \lor x=0

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∣ 3 x + 1 ∣ + ∣ 4 x + 9 ∣ = 10

x = - \frac{20}{7} or x = 0

Decimal Notation

x = - 2.85714 \dots, x = 0

Solution steps

∣ 3 x + 1 ∣ + ∣ 4 x + 9 ∣ = 10

Find positive and negative intervals

x < - \frac{9}{4}, - \frac{9}{4} \leq x < - \frac{1}{3}, x \geq - \frac{1}{3}

Solve the inequality for each interval

x = - \frac{20}{7} or No Solution or x = 0

x = - \frac{20}{7} or x = 0

- 7 + x = 2

x^{2} - 14 x - 120

\frac{x}{7} + 1 = 5

\frac{3}{4} x + 2 < \frac{5}{8} x - 3

- 15 < 3 - 2 x - 2

What is the answer to |3x+1|+|4x+9|=10 ?
The answer to |3x+1|+|4x+9|=10 is x=-20/7 \lor x=0
Solve for x: |3x+1|+|4x+9|=10
The solution is x=-20/7 \lor x=0