Solve -7x² + 29x + 78 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 7x squared plus 29x plus 78 equals 0, also known as -7x² + 29x + 78 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -7x^2 + 29x + 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 + 29x + 78 = 0.

Below is negative 7x squared plus 29x plus 78 in factored form. As you can see, -7x² + 29x + 78 has been grouped into two sets of parentheses.

-(x - 6)(7x + 13)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -7x^2 + 29x + 78 = 0.

(x - 6) = 0
x₁ = 6

(7x + 13) = 0
x₂ = -1 6/7

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