Let's solve your equation step-by-step.<span><span><span><span><span><span>2<span>x4</span></span>−<span>7<span>x3</span></span></span>+<span>4<span>x2</span></span></span>+<span>7x</span></span>−6</span>=0</span>Step 1: Factor left side of equation.<span><span><span><span><span>(<span>x+1</span>)</span><span>(<span>x−1</span>)</span></span><span>(<span>x−2</span>)</span></span><span>(<span><span>2x</span>−3</span>)</span></span>=0</span>Step 2: Set factors equal to 0.<span><span><span><span><span>x+1</span>=<span><span><span>0 or </span>x</span>−1</span></span>=<span><span><span>0 or </span>x</span>−2</span></span>=<span><span><span>0 or </span><span>2x</span></span>−3</span></span>=0</span><span><span><span><span>x=<span>−<span><span>1 or </span>x</span></span></span>=<span><span>1 or </span>x</span></span>=<span><span>2 or </span>x</span></span>=<span>32</span></span>Answer:<span><span><span><span>x=<span>−<span><span>1 or </span>x</span></span></span>=<span><span>1 or </span>x</span></span>=<span><span>2 or </span>x</span></span>=<span>3<span>2</span></span></span>
