What is the answer to |2x-3|-6x=x^2 ?

The answer to |2x-3|-6x=x^2 is x=-4-sqrt(19)\lor x=-4+sqrt(19)

Solve for x: |2x-3|-6x=x^2

The solution is x=-4-sqrt(19)\lor x=-4+sqrt(19)

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∣ 2 x - 3 ∣ - 6 x = x^{2}

x = - 4 - 19 or x = - 4 + 19

Decimal Notation

x = - 8.35889 \dots, x = 0.35889 \dots

Solution steps

∣ 2 x - 3 ∣ - 6 x = x^{2}

Find positive and negative intervals

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

Solve the inequality for each interval

(x = - 4 - 19 or x = - 4 + 19) or No Solution

x = - 4 - 19 or x = - 4 + 19

x, ∣ a x ∣ - b = c

∣ 14 y + 8 ∣ + 8 = 2

∣ 2 x - 2 ∣ = 2

∣ 3 y + 6 ∣ = 12

4 ∣ 2 x - 2 ∣ = 32

What is the answer to |2x-3|-6x=x^2 ?
The answer to |2x-3|-6x=x^2 is x=-4-sqrt(19)\lor x=-4+sqrt(19)
Solve for x: |2x-3|-6x=x^2
The solution is x=-4-sqrt(19)\lor x=-4+sqrt(19)