What is the answer to 2x^2-3|x+3|+5-8=0 ?

The answer to 2x^2-3|x+3|+5-8=0 is x=(3-sqrt(105))/4 \lor x=(3+sqrt(105))/4

Solve for x: 2x^2-3|x+3|+5-8=0

The solution is x=(3-sqrt(105))/4 \lor x=(3+sqrt(105))/4

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2 x^{2} - 3 ∣ x + 3 ∣ + 5 - 8 = 0

x = \frac{3 - 105}{4} or x = \frac{3 + 105}{4}

Decimal Notation

x = - 1.81173 \dots, x = 3.31173 \dots

Solution steps

2 x^{2} - 3 ∣ x + 3 ∣ + 5 - 8 = 0

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or (x = \frac{3 - 105}{4} or x = \frac{3 + 105}{4})

x = \frac{3 - 105}{4} or x = \frac{3 + 105}{4}

9 ∣ 8 x + 3 ∣ - 9 = 18

∣ x ∣ + 8 = 17

∣ x + 5 ∣ - 2 = 11

- ∣ x ∣ = - \frac{4}{5}

∣ x + 25 ∣ = 3

What is the answer to 2x^2-3|x+3|+5-8=0 ?
The answer to 2x^2-3|x+3|+5-8=0 is x=(3-sqrt(105))/4 \lor x=(3+sqrt(105))/4
Solve for x: 2x^2-3|x+3|+5-8=0
The solution is x=(3-sqrt(105))/4 \lor x=(3+sqrt(105))/4