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>
The domain of that function is all real numbers because it's a line.
The mistake he did, was in calculating powers, when 12 is taken to numerator it becomes -12 and 6-12 is -6 and not 6 so power of x should be -6 i.e x^-6 and not x^6
So, the correct answer is 
Step-by-step explanation:
We need to simplify:
Solving:
Multiplying power with the terms inside the bracket.
Now combining powers of same variable i.e if 
Solving:
The exponent rule says: if 
The mistake he did, was in calculating powers, when 12 is taken to numerator it becomes -12 and 6-12 is -6 and not 6 so power of x should be -6 i.e x^-6 and not x^6
So, the correct answer is
Keywords: Exponents
Learn more about Exponents at:
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