Solve for x 1/4sin(x)+1=0

$\frac{1}{4} \sin (x) + 1 = 0$

Step 1

Combine $\frac{1}{4}$ and $\sin (x)$ .

$\frac{\sin (x)}{4} + 1 = 0$

Step 2

Subtract $1$ from both sides of the equation.

$\frac{\sin (x)}{4} = - 1$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{\sin (x)}{4} = 4 \cdot - 1$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{\sin (x)}{4} = 4 \cdot - 1$

Rewrite the expression.

$\sin (x) = 4 \cdot - 1$

Simplify the right side.

Multiply $4$ by $- 1$ .

$\sin (x) = - 4$

Step 5

The range of sine is $- 1 \leq y \leq 1$ . Since $- 4$ does not fall in this range, there is no solution.

No solution