Solve the following quadratic equation:\(8{x^2} - 2x - 6 = 0\) .
Explanation
Quadratic equations are also known as equations of the second degree because of the variable raised to the 2nd power.
In the given equation, the second power in \(8x^{2}\) makes the equation a quad or a square.
The first step is to factor out the expression completely. With that, we get
(4x+3)(2x−2)=0.
Next, we equate each factor to zero and solve for the values of x.
(4x+3)=0
x=−3/4
(2x−2)=0
x=1
Therefore, x=−3/4 or 1