# Factoring quadratic equations

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Factor: 75+12x^2+60x

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#### Solution Preview

12*x^2+60x+75=3*(4*x^2+20x+25)

Notice: 4*x^2=(2x)^2 and 25=5^2.

Also : 20x=2*(2x)*5.

This leads to a binom of the form

(a+b)^2=a^2+2ab+b^2, ...

#### Solution Summary

This shows how to factor a given quadratic equation.

$2.49