A baseball diamond has the shape of a square with side
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Here is the equation:
In the equation, 6 is being multiplied by x - 8. There are two ways to solve this equation.
FIRST METHOD
<h3>You need to remove the parentheses by multiplying everything in the parentheses by 6.
Multiply:
Remember:
NEGATIVES
- Negative(-) times(×) negative(-) = positive(+)
- Negative(-) times(×) positive(+) = negative(-)
- Negative(-) divided(÷) by positive(+) = negative(-)
- Negative(-) divided(÷) by negative(-) = positive(+)
POSITIVES
- Positive(+) times(×) positive(+) = positive(+)
- Positive(-) times(×) negative(-) = negative(-)
- Positive(+) divided(÷) by positive(+) = positive(+)
- Positive(+) divided(÷) by negative(-) = negative(-)
Now combine the two values and rewrite the equation:
Since you're looking for x alone, you will need to remove the -48. This can be done by adding 48 to both sides, -48+48=0, which cancels it out).
Lastly, divide both sides by 6 to leave x alone.
SECOND METHOD
While the first step is somewhat complicated, there is a much easier way.
Start by dividing both sides by 6 to remove the number next to the parentheses.
(The 6 is cancelled out since 6 divided by 6 equals 1, and 1 × any number is that number).
Now you need to leave the variable alone, which can be done by adding 8 to both sides(-8+8=0 and -8 is cancelled out).
Either method can be used, but the second one is definitely shorter!
The answer is x = 20.