You have come to the correct place if you are looking to solve the quadratic equation 2x squared plus 5x minus 33 equals 0, also known as 2x² + 5x - 33 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 2x^2 + 5x - 33 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 2x² + 5x - 33 = 0.
Below is 2x squared plus 5x minus 33 in factored form. As you can see, 2x² + 5x - 33 has been grouped into two sets of parentheses.
(x - 3)(2x + 11)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 2x^2 + 5x - 33 = 0.
(x - 3) = 0
x1 = 3
(2x + 11) = 0
x2 = -5 1/2
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