What is the answer to |x^2+10x+16|=|x^2-16| ?

The answer to |x^2+10x+16|=|x^2-16| is x=-5\lor x=-16/5 \lor x=0

Solve for x: |x^2+10x+16|=|x^2-16|

The solution is x=-5\lor x=-16/5 \lor x=0

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x^{2} + 10 x + 16 = x^{2} - 16

x = - 5 or x = - \frac{16}{5} or x = 0

Decimal Notation

x = - 5, x = - 3.2, x = 0

Solution steps

x^{2} + 10 x + 16 = x^{2} - 16

Find positive and negative intervals

x \leq - 8, - 8 < x \leq - 4, - 4 < x < - 2, - 2 \leq x < 4, x \geq 4

Solve the inequality for each interval

No Solution or x = - 5 or x = - \frac{16}{5} or x = 0

x = - 5 or x = - \frac{16}{5} or x = 0

∣ x + 5 ∣ + ∣ 3 - x ∣ = 15

x^{2} - 5 x + 6 + x^{2} - x - 2 = 4 ∣ 2 - x ∣

5 x^{2} + 4 x ∣ x ∣ - 100 = 0

(x - 3)^{2} + ∣ x - 3 ∣ - 11 = 0

x^{2} - 3 x + 2 - x^{2} - 5 x + 4 = 2 x^{2} - 8 x + 6

What is the answer to |x^2+10x+16|=|x^2-16| ?
The answer to |x^2+10x+16|=|x^2-16| is x=-5\lor x=-16/5 \lor x=0
Solve for x: |x^2+10x+16|=|x^2-16|
The solution is x=-5\lor x=-16/5 \lor x=0