Starting off with the base equation. <span><span>x<span>(<span>1−x</span>)</span></span>=<span>−6
</span></span>Simplify both sides of the equation.<span><span><span>−<span>x2</span></span>+x</span>=<span>−6
</span></span>Subtract -6 from both sides.<span><span><span><span>−<span>x2</span></span>+x</span>−<span>(<span>−6</span>)</span></span>=<span><span>−6</span>−<span>(<span>−6</span>)</span></span></span><span><span><span><span>−<span>x2</span></span>+x</span>+6</span>=0
</span>Factor left side of equation.<span><span><span>(<span><span>−x</span>−2</span>)</span><span>(<span>x−3</span>)</span></span>=0
</span>Set factors equal to 0.<span><span><span><span>−x</span>−2</span>=<span><span><span>0 or </span>x</span>−3</span></span>=0</span><span><span>x=<span>−<span><span>2 or </span>x</span></span></span>=3</span>
