What is the answer to |6a|-5=4a ?

The answer to |6a|-5=4a is a=-1/2 \lor a= 5/2

Solve for a: |6a|-5=4a

The solution is a=-1/2 \lor a= 5/2

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∣ 6 a ∣ - 5 = 4 a

a = - \frac{1}{2} or a = \frac{5}{2}

Decimal

a = - 0.5, a = 2.5

Solution steps

∣ 6 a ∣ - 5 = 4 a

Find positive and negative intervals

a < 0, a \geq 0

Solve the inequality for each interval

a = - \frac{1}{2} or a = \frac{5}{2}

∣ j ∣ + 7 = 0

∣ 8 x + 5 ∣ + 7 = 5

∣ 3 x ∣ 4 + 6 = 9

∣ 8 w ∣ = - 16

x, ∣ 3 x + 2 ∣ = 4