Final answer:
The student's question concerns solving polynomial equations that can sometimes be simplified to a quadratic equation form. These are solvable using the quadratic formula to find the unknown value of x. The example provided illustrates solving a quadratic equation with the given coefficients.
Step-by-step explanation:
The student is asking for solutions to a polynomial equation. When we face a polynomial equation, we can sometimes rearrange it into a quadratic equation of the form ax² + bx + c = 0. We then apply the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a), to find the values of x that satisfy this equation.
First, we should combine like terms and set the equation to zero by moving all terms to one side. This often involves bringing all terms to the left side of the equation so that the right side equals zero, then factorizing or using the quadratic formula if it turns into a quadratic equation.
As an example, let's solve an equation formatted properly for the quadratic formula: x² + 0.0211x - 0.0211 = 0. Substituting the coefficients into the quadratic formula, we can find the two possible values for x.