Solve the following quadratic equation by factoring. x2+3x=18 **Note: Please type your answers from least to greatest. For example, x1 would be the smallest solution and x2 would be your largest. (1 point) show all your work

Answer 1

To solve the quadratic equation x^2 + 3x = 18 by factoring, we need to rearrange the equation to equal zero.

x^2 + 3x - 18 = 0

Now we will attempt to factor the quadratic expression on the left-hand side of the equation.

The factors of -18 that could sum up to 3 (the coefficient of x) are 6 and -3.

(x + 6)(x - 3) = 0

Now we set each factor equal to zero and solve for x.

x + 6 = 0
x = -6

x - 3 = 0
x = 3

Therefore, the solutions to the quadratic equation x^2 + 3x = 18 are x = -6 and x = 3.