Let's solve your equation step-by-step. <span><span><span><span>4<span>x^2</span></span>+<span>28x</span></span>−32</span>=0 </span>Step 1: Factor left side of equation. <span><span><span>4<span>(<span>x−1</span>)</span></span><span>(<span>x+8</span>)</span></span>=0 </span>Step 2: Set factors equal to 0. <span><span><span>x−1</span>=<span><span><span>0<span> or </span></span>x</span>+8</span></span>=0 </span><span><span>x=<span><span>1<span> or </span></span>x</span></span>=<span>−<span>8</span></span></span>