Chapter 9 - Solving Quadratic Equations - 9.3 - Solving Quadratic Equations Using Square Roots - Monitoring Progress - Page 499: 3

$x=0$

The given equation is $\Rightarrow 4x^2-15=-15$ Add $15$ to each side. $\Rightarrow 4x^2-15+15=-15+15$ Simplify. $\Rightarrow 4x^2=0$ Divide both side by $4$. $\Rightarrow x^2=0$ Take the square root of each side. $\Rightarrow x=0$ Hence, the only solution is $x=0$.