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.

1 answer

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).
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