You have come to the correct place if you are looking to solve the quadratic equation 40x squared minus 38x plus 7 equals 0, also known as 40x² - 38x + 7 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 40x^2 - 38x + 7 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 40x² - 38x + 7 = 0.
Below is 40x squared minus 38x plus 7 in factored form. As you can see, 40x² - 38x + 7 has been grouped into two sets of parentheses.
(10x - 7)(4x - 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 40x^2 - 38x + 7 = 0.
(10x - 7) = 0
x1 = 7/10
(4x - 1) = 0
x2 = 1/4
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Solve 40x² - 38x + 9 = 0
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