Question

Solve the quadratic equation 35x2−21x=0
by factoring out the GCF.

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Responses

The solutions are x=7
and x=35

The solutions are x is equal to 7 and x is equal to 3 fifths

The solutions are x=−35
and x=0

The solutions are x is equal to negative 3 fifths and x is equal to 0

The solutions are x=0
and x=7

The solutions are x is equal to 0 and x is equal to 7

The solutions are x=0
and x=35

The solutions are x is equal to 0 and x is equal to 3 fifths
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Answer 1

35x^2 − 21x = 0
Factor out the GCF 7x: 7x(5x − 3) = 0
Set each factor to zero: 7x = 0 → x = 0; 5x − 3 = 0 → x = 3/5.

Solutions: x = 0 and x = 3/5.