You have come to the correct place if you are looking to solve the quadratic equation 2x squared plus 5x minus 42 equals 0, also known as 2x² + 5x - 42 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 2x^2 + 5x - 42 = 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 - 42 = 0.
Below is 2x squared plus 5x minus 42 in factored form. As you can see, 2x² + 5x - 42 has been grouped into two sets of parentheses.
(2x - 7)(x + 6)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 2x^2 + 5x - 42 = 0.
(2x - 7) = 0
x1 = 3 1/2
(x + 6) = 0
x2 = -6
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