To solve the quadratic equation -3x^2 - 30x + 117 = 0, follow these steps:

Step 1: Simplify the equation
The equation can be simplified by dividing all terms by -3, which gives:
x^2 + 10x - 39 = 0

Step 2: Factor the equation
The factored form of the equation is:
(x - 3)(x + 13) = 0

Step 3: Solve for x
Setting each factor equal to zero gives the solutions to the equation:
x - 3 = 0 = x = 3
x + 13 = 0 = x = -13

So, the solutions to the equation -3x^2 - 30x + 117 = 0 are x = 3 and x = -13.

Question

To solve the quadratic equation -3x^2 - 30x + 117 = 0, follow these steps:

Step 1: Simplify the equation
The equation can be simplified by dividing all terms by -3, which gives:
x^2 + 10x - 39 = 0

Step 2: Factor the equation
The factored form of the equation is:
(x - 3)(x + 13) = 0

Step 3: Solve for x
Setting each factor equal to zero gives the solutions to the equation:
x - 3 = 0  =>  x = 3
x + 13 = 0  =>  x = -13

So, the solutions to the equation -3x^2 - 30x + 117 = 0 are x = 3 and x = -13.

Knowee AI · Accepted Answer

To solve the quadratic equation -3x^2 - 30x + 117 = 0, follow these steps:

Step 1: Simplify the equation
The equation can be simplified by dividing all terms by -3, which gives:
x^2 + 10x - 39 = 0

Step 2: Factor the equation
The factored form of the equation is:
(x - 3)(x + 13) = 0

Step 3: Solve for x
Setting each factor equal to zero gives the solutions to the equation:
x - 3 = 0  =>  x = 3
x + 13 = 0  =>  x = -13

So, the solutions to the equation -3x^2 - 30x + 117 = 0 are x = 3 and x = -13.

−3x 2 −30x+117=0AnswerAttempt 1 out of 2