How can factoring out the GCF help you apply the Zero Product Property?
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Practice makes perfect
To solve the given equation by factoring, we will start by writing all the terms on the left-hand side. Then, we will factor out the GCF. Afterwards, we will apply the Zero Product Property to solve the equation.
Since the GCF is 1, we did not need to factor anything out in this situation. To find the solutions, we will solve the equation. Note that this is a quadratic equation. Thus, we will use the Quadratic Formula.
ax^2+bx+c=0 ⇔ x=- b±sqrt(b^2-4ac)/2a
To do so, we first need to identify a, b, and c.
4x^2+4x+1=0 ⇔ 4x^2+ 4x+ 1=0
We see that a= 4, b= 4, and c= 1. Let's substitute these values into the formula and solve for x.
