Factor & finding zeros
x^{2} -x-6=0

x = 3, -2

Step-by-step explanation:

To help us factor, we can split the middle term up into the sum of the terms -3x and 2x:

From there, we can factor out an x from the first two term and a 2 from the last two to obtain the equation

Factoring out an (x - 3) from each term gives us the equation

At this point, we can divide by either x - 3 or x + 2 to obtain the two equations

and

Solving both for x gives us the solutions x = 3 and x = -2. We can verify these by substituting them back into the original equation:

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step-by-step explanation: