What is the answer to |5a+9|=|6a-3| ?

The answer to |5a+9|=|6a-3| is a=-6/11 \lor a=12

Solve for a: |5a+9|=|6a-3|

The solution is a=-6/11 \lor a=12

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∣ 5 a + 9 ∣ = ∣ 6 a - 3 ∣

a = - \frac{6}{11} or a = 12

Decimal Notation

a = - 0.54545 \dots, a = 12

Solution steps

∣ 5 a + 9 ∣ = ∣ 6 a - 3 ∣

Find positive and negative intervals

a < - \frac{9}{5}, - \frac{9}{5} \leq a < \frac{1}{2}, a \geq \frac{1}{2}

Solve the inequality for each interval

No Solution or a = - \frac{6}{11} or a = 12

a = - \frac{6}{11} or a = 12

5 x^{2} - x + 1 = 0

3 v^{2} - 6 v + 2 = 3

x^{2} - 4 = - 4 x

2 x - 3 (5 x - 1) < 3 - (13 x + 8)

x^{2} - 64 x = 0

What is the answer to |5a+9|=|6a-3| ?
The answer to |5a+9|=|6a-3| is a=-6/11 \lor a=12
Solve for a: |5a+9|=|6a-3|
The solution is a=-6/11 \lor a=12