Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 5x^2+10x+5=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=5, b=10 and c=5. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Subtract the values 0 and -10.

Solve the quadratic equation 5x^2+10x+5=0