Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2-10x+5=-20. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values -20 and -5. Rewrite the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-10 and c=25. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

Solve the quadratic equation x^2-10x+5=-20