|3x^2+16|=2 — step-by-step solution

Let's solve in

ℝ

| 3 x^{2} + 16 | = 2

| A | = B

means that:

A = B

A = - B

Let's solve in

ℝ

3 x^{2} + 16 = 2

3 x^{2} = 2 - 16

3 x^{2} = -14

x^{2} = - \frac{14}{3}

Could not solve in

ℝ

for:

x

Let's solve in

ℝ

3 x^{2} + 16 = -2

3 x^{2} = - 2 - 16

3 x^{2} = -18

x^{2} = -6

No solution in

ℝ

for:

x

▶Solution:

x \in \emptyset