Solving quadractics by factoring

One way to solve a quadratic equation like:

(4x² - 4)=0 is by factoring and setting both factors equal to zero. Because a quadratic contains a x² they often have two solutions.

(4x² - 4)=0 can be factored to

(2x - 2)(2x + 2)=0

Now set both factors equal to zero

2x-2=0
2x+2=0

we get
x=1 and x=-1
substituting 1 or -1 for x will solve the quadratic equation (4x² + 4)=0

Quadratic Equation

A quadratic equation is described as an equation where the highest exponent is 2.
The graph of a quadratic is a smooth curve known as a parabola.

All of the following are quadratic equations.
x² + 4 = 0

x² + 4x + 3 = 0

3x² + 34x + 7 = 50