# POLQ 2 | Lesson 4 | Making Connections (Justifying the Steps) # Justifying the Steps

Now that you have the correct steps algebraically. Take the justifications for each step and align them with the steps.

 Simplify $$\sqrt{4a^2}$$ on the right side of the equation. Subtract $$\dfrac{b}{2a}$$ from both sides of the equation. Divide the general form of a quadratic equation by $$a$$. Factor the trinomial on the left side of the equation. Combine the fractions on the right side of the equation. Use the property $$\sqrt{ \dfrac {a}{b}} = \dfrac {\sqrt{a}}{\sqrt{b}}$$ on the right side of the equation. Combine the fractioncs to obtain the Quadratic Formula. Subtract the constant $$\dfrac{c}{a}$$ from both sides of the equation. Multiply out $$\left( \dfrac{b}{2a} \right)^2$$ on the right side of the equation. Take half of the coefficient of the linear term, square it, and add it to both sides of the equation. Simplify $$\sqrt{\left( x + \dfrac {b}{2a} \right)^2}$$ on the left side of the equation. Multiply  $$- \dfrac{c}{a}$$ by an equivalent form of one to obtain common denominators. Take the square root of both sides of the equation.