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lesya [120]
3 years ago
6

Solve by factoring the equation x^2+36=12x

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0
x^2+36=12x\\\\x^2-12x+36=0\\\\x^2-6x-6x+36=0\\\\x(x-6)-6(x-6)=0\\\\(x-6)(x-6)=0\\\\(x-6)^2=0\iff x-6=0\Rightarrow\boxed{x=6}
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How can you solve an equation with a variable on ni tu sides?​
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Step-by-step explanation:

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<u>Example</u>

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If we choose to subtract x, then we will have a variable term on the left and a  constant term on the right:

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__

Note that we purposely set up this example so that removing the variable term from the right side caused the variable term and constant term to be on opposite sides of the equal sign. It may not always be that way. As long as you remember that an unwanted term can be removed by subtracting it (from both sides of the equation), you can deal with constant terms and variable terms no matter where they appear.

_____

<em>Additional Comment</em>

It usually works well to choose the variable term with the smallest (or most negative) coefficient. That way, when you subtract it, you will be left with a variable term that has a positive coefficient.

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Step-by-step explanation:

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