Solve -6x² + 33x + 63 = 0


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You have come to the correct place if you are looking to solve the quadratic equation negative 6x squared plus 33x plus 63 equals 0, also known as -6x² + 33x + 63 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -6x^2 + 33x + 63 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -6x² + 33x + 63 = 0.

Below is negative 6x squared plus 33x plus 63 in factored form. As you can see, -6x² + 33x + 63 has been grouped into two sets of parentheses.

-(3x - 21)(2x + 3)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -6x^2 + 33x + 63 = 0.

(3x - 21) = 0
x1 = 7

(2x + 3) = 0
x2 = -1 1/2


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