What is the answer to |-7a-10|=-10a ?

The answer to |-7a-10|=-10a is a=-10/17

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|-7a-10|=-10a

∣ - 7 a - 10 ∣ = - 10 a

a = - \frac{10}{17}

Decimal

a = - 0.58823 \dots

Solution steps

∣ - 7 a - 10 ∣ = - 10 a

Find positive and negative intervals

a \leq - \frac{10}{7}, a > - \frac{10}{7}

Solve the inequality for each interval

No Solution or a = - \frac{10}{17}

a = - \frac{10}{17}

∣ 8 x + 10 ∣ = 22

2 ∣ x + 1 ∣ - 6 = 4

- ∣ x - 6 ∣ + 4 = \frac{x}{2} + 3

∣ x - 3 ∣ + 4 = 2

5 ∣ 2 x - 5 ∣ - 7 = 3