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There are several methods to solve nonlinear equations using LibreOffice Calc:

1. Goal Seek: This is a built-in function in Calc that can solve nonlinear equations. To use this function, select the cell where you want the solution to appear and go to Data > Solver > Goal Seek. In the Goal Seek dialog box, enter the cell reference of the cell that contains the equation you want to solve, enter the value you want the equation to equal, and select the variable cell. Click OK to solve the equation.

2. Solver: This is another built-in function in Calc that can solve nonlinear equations. To use this function, go to Data > Solver. In the Solver Parameters dialog box, enter the cell references of the cells that contain the equation, the constraint(s), and the objective function. Then click Solve to get the solution.

3. Using Functions: You can use the built-in functions in Calc, such as the root finding functions (such as ROOT, ROOTS, and SOLVER), to solve nonlinear equations. These functions require you to enter the equation and initial guesses for the variable(s) you want to solve for.

4. Macros: You can also use macros to solve nonlinear equations. Macros are written in Basic and can be created or edited in the Visual Basic Editor. You can write a macro that uses a numerical or analytical method to solve the equation, such as the Newton-Raphson method or the Bisection method.