Let's solve your equation step-by-step. <span><span><span>4x^2</span>−7x</span>=<span>3x+24 </span></span>Step 1: Subtract 3x+24 from both sides. <span><span><span><span>4x^2</span>−7x</span>−<span>(<span>3x+24</span>)</span></span>=<span><span>3x+24</span>−<span>(<span>3x+24</span>) </span></span></span><span><span><span><span>4x^2</span>−10x</span>−24</span>=0 </span>Step 2: Factor left side of equation. <span><span><span>2<span>(<span>2x+3</span>)</span></span><span>(x−4)</span></span>=0 </span>Step 3: Set factors equal to 0. <span><span><span>2x+3</span>=<span><span><span>0 or </span>x</span>−4</span></span>=0</span><span><span>x=<span><span><span>−32</span> or </span>x</span></span>=4 </span>Answer:<span><span>x=<span><span><span>−3/2</span> or </span>x</span></span>=<span>4 Hope this helps!:)</span></span>
