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We begin by solving the addition exercise in the right parenthesis:
We then multiply each of the terms inside of the parentheses by 14:
Following this we solve each of the exercises inside of the parentheses:
We move the sections whilst retaining the appropriate sign:
Finally we divide the two parts by 98:
2
Resolve -
\( (x-3)(x-6)= \)
The order of operations (PEMDAS) requires you to simplify what's inside parentheses first. This gives you , which is much easier to work with than distributing both 10 and 4 separately.
Distributing means multiplying 14 by each term inside the parentheses: and . This gives you .
First, subtract 42 from both sides to get . Then divide both sides by 98 to find . Always do the opposite operations to undo what's being done to x.
If your check doesn't work, go back and look for these common errors: arithmetic mistakes when distributing, forgetting to subtract 42 from both sides, or division errors. Double-check each step carefully!
You could expand everything first, but it's much easier to simplify first. This reduces the complexity and follows proper order of operations!
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