What is the answer to 1+|3x+6|+4x=0 ?

The answer to 1+|3x+6|+4x=0 is x=-1

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1+|3x+6|+4x=0

1 + ∣ 3 x + 6 ∣ + 4 x = 0

x = - 1

Solution steps

1 + ∣ 3 x + 6 ∣ + 4 x = 0

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

No Solution or x = - 1

x = - 1

∣ x - 2 ∣ + 3 = 7

∣ x - 3 ∣ = 2 x + 3

x^{2} + 2 x + 1 = 4

∣ x - 2 ∣ + 2 = 9

\frac{n}{10} = 2