Squaring a number equals 5 times that number | MathCelebrity Forum

Squaring a number equals 5 times that number

math_celebrity

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Squaring a number equals 5 times that number.

The phrase a number means an arbitrary variable, let's call it x.

Squaring this number:
x^2

5 times this number means we multiply by 5:
5x

The phrase equals means we set both expressions equal to each other:
x^2 = 5x <-- This is our algebraic expression

If you want to solve for x, then we subtract 5x from each side:
x^2 - 5x = 5x - 5x

Cancel the 5x on the right side, leaving us with 0:
x^2 - 5x = 0

Factor out x:
x(x - 5)

So we get x = 0 or x = 5
 
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