Solve 52x² + 100x + 37 = 0

You have come to the correct place if you are looking to solve the quadratic equation 52x squared plus 100x plus 37 equals 0, also known as 52x² + 100x + 37 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 52x^2 + 100x + 37 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 52x² + 100x + 37 = 0.

Below is 52x squared plus 100x plus 37 in factored form. As you can see, 52x² + 100x + 37 has been grouped into two sets of parentheses.

(2x + 1)(26x + 37)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 52x^2 + 100x + 37 = 0.

(2x + 1) = 0
x₁ = -1/2

(26x + 37) = 0
x₂ = -1 11/26

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