Solve $x^2+6x-55=0$x2+6x−55=0 for $x$x.

Write all solutions on the same line, separated by commas.

Solve for the unknown, leaving your answer in exact form.

$8-7m-m^2=-2m^2+m+2$8−7m−m2=−2m2+m+2

Solve the following equation:

$x-\frac{45}{x}=4$x−45x=4

$\frac{10}{x}-3x=-13$10x−3x=−13

Solve quadratic equations for real roots.

Find the solution set for quadratic inequalities.

Use substitution to form and solve a quadratic equation in order to solve a related equation.