Solve the quadratic equation by using the factoring method. x ( x + 5 ) = 6
A) x = -6, x = 5
B) x = -6, x = 1
C) x = 6, x = -5

Question

Quizplus · Accepted Answer

First, we need to simplify the left side of the equation by distributing:

x² + 5x = 6

Next, we need to move all the terms to one side of the equation to get it in standard quadratic form:

x² + 5x - 6 = 0

Now, we need to factor the quadratic. We are looking for two numbers that multiply to -6 and add to 5. Those numbers are -1 and 6:

(x - 1)(x + 6) = 0

Using the zero product property, we can set each factor equal to zero and solve for x:

x - 1 = 0 or x + 6 = 0

x = 1 or x = -6

Therefore, the solutions are x = -6 or x = 1. The correct choice is B.

Solve the Quadratic Equation by Using the Factoring Method