Consider the following quadratic equation:
6x2+21x=0
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, we need to determine the factors of the quadratic equation.
The equation is in the form of ax^2 + bx = 0, where a = 6 and b = 21.
We can factor out the common factor, which is x:
x(6x + 21) = 0
Now we have a quadratic expression, 6x + 21, which we can factor further.
We can factor out 3 from both terms:
x(3 * 2x + 3 * 7) = 0
This simplifies to:
x(3(2x + 7)) = 0
So, the two linear factors of the equation 6x^2 + 21x = 0 are x and (2x + 7).