What is the answer to |2z-3|=-4z+1 ?

The answer to |2z-3|=-4z+1 is z=-1

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|2z-3|=-4z+1

∣ 2 z - 3 ∣ = - 4 z + 1

z = - 1

Solution steps

∣ 2 z - 3 ∣ = - 4 z + 1

Find positive and negative intervals

z < \frac{3}{2}, z \geq \frac{3}{2}

Solve the inequality for each interval

z = - 1 or No Solution

z = - 1

∣ x - 5 ∣ + 8 = 9

x^{2} - 3 ∣ x ∣ - 10 = 0

∣ x ∣ - 9 = - 5

∣ 2 x - 1 ∣ + 4 = 4

∣ - 2 x - 6 ∣ = 8