You have come to the correct place if you are looking to solve the quadratic equation 42x squared minus 3x minus 90 equals 0, also known as 42x² - 3x - 90 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 42x^2 - 3x - 90 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 42x² - 3x - 90 = 0.
Below is 42x squared minus 3x minus 90 in factored form. As you can see, 42x² - 3x - 90 has been grouped into two sets of parentheses.
(6x - 9)(7x + 10)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 42x^2 - 3x - 90 = 0.
(6x - 9) = 0
x1 = 1 1/2
(7x + 10) = 0
x2 = -1 3/7
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