Suppose that four times the square of a number equals 20 times that number.What is the number

Question

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Answer 1

4X^2 =20X

divide by X to get

4X =20

divide by 4

X=20/4 =5

the number is 5

or it could be 0

4 times 0 squared also equals 20 times 0

4X^2 -20X = 0

factor

4(X)(X-5) = 0

set the two factors with X terms = 0 and solve for X

X=0 and X-5=0

the number is 0 or 5