Solve |sin2x=|\frac{8}{pi^2} x=(0pi)

Evaluate

∣ s in \times 2 x ∣ \times \frac{8}{p i ^{2}} \times x = 0 \times p i

Simplify

More Steps

- \frac{8 ∣ 2 i s n x ∣ \times x}{p} = 0 \times p i

Any expression multiplied by 0 equals 0

- \frac{8 ∣ 2 i s n x ∣ \times x}{p} = 0

Rewrite the expression

\frac{- 8 ∣ 2 i s n x ∣ \times x}{p} = 0

Cross multiply

- 8 ∣ 2 i s n x ∣ \times x = p \times 0

Simplify the equation

- 8 ∣ 2 i s n x ∣ \times x = 0

Elimination the left coefficient

∣ 2 i s n x ∣ \times x = 0

Separate the equation into 2 possible cases

∣ 2 i s n x ∣ = 0 x = 0

Solve the equation

More Steps

n = 0 s = 0 x = 0 x = 0

Find the union

n = 0 s = 0 x = 0

Solution

(n_{1}, s_{1}, x_{1}) = (n, 0, x), (n, x) \in R^{2} (n_{2}, s_{2}, x_{2}) = (0, s, x), (s, x) \in R^{2} (n_{3}, s_{3}, x_{3}) = (n, s, 0), (n, s) \in R^{2}