Consider the following quadratic equation:
25x^2=81
Step 1 of 2 : Using the standard form ax2+bx+c=0
of the given quadratic equation, factor the left hand side of the equation into two linear factors.
To factor the left hand side of the equation, 25x^2, we need to find two numbers that multiply to give 25 and add up to 0 (since there is no term with an x). The numbers that satisfy this criteria are 5 and -5.
So we can factor 25x^2 as (5x)(5x) or (-5x)(-5x).
Thus, the left hand side of the equation can be factored into two linear factors as follows: (5x)(5x) or (-5x)(-5x).