Solve 7x² + 53x + 78 = 0

You have come to the correct place if you are looking to solve the quadratic equation 7x squared plus 53x plus 78 equals 0, also known as 7x² + 53x + 78 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 7x^2 + 53x + 78 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 7x² + 53x + 78 = 0.

Below is 7x squared plus 53x plus 78 in factored form. As you can see, 7x² + 53x + 78 has been grouped into two sets of parentheses.

(x + 2)(7x + 39)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 7x^2 + 53x + 78 = 0.

(x + 2) = 0
x₁ = -2

(7x + 39) = 0
x₂ = -5 4/7

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