<span><span><span>(<span>x+8</span>)^</span>2</span>=<span><span><span>x^2</span>+<span>4x</span></span>+16</span></span> Simplify both sides of the equation.<span><span><span><span> x^2</span>+<span>16x</span></span>+64</span>=<span><span><span>x^2</span>+<span>4x</span></span>+16</span></span> Subtract x^2 from both sides.<span><span><span><span><span> x^2</span>+<span>16x</span></span>+64</span>−<span>x^2</span></span>=<span><span><span><span>x^2</span>+<span>4x</span></span>+16</span>−<span>x^2</span></span></span><span><span><span> 16x</span>+64</span>=<span><span>4x</span>+16</span></span> Subtract 4x from both sides.<span><span><span><span> 16x</span>+64</span>−<span>4x</span></span>=<span><span><span>4x</span>+16</span>−<span>4x</span></span></span><span><span><span> 12x</span>+64</span>=16</span> Subtract 64 from both sides.<span><span><span><span> 12x</span>+64</span>−64</span>=<span>16−64</span></span><span><span> 12x</span>=<span>−48</span></span> Divide both sides by 12.<span><span><span> <span><span>12x/</span>12</span></span></span>=<span><span><span><span>−48/</span>12</span></span></span></span><span> x=<span>−4</span></span> Answer:<span>x=<span>−<span>4</span></span></span>
