Solve -5x² + 12x + 65 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 5x squared plus 12x plus 65 equals 0, also known as -5x² + 12x + 65 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -5x^2 + 12x + 65 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -5x² + 12x + 65 = 0.

Below is negative 5x squared plus 12x plus 65 in factored form. As you can see, -5x² + 12x + 65 has been grouped into two sets of parentheses.

-(x - 5)(5x + 13)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -5x^2 + 12x + 65 = 0.

(x - 5) = 0
x₁ = 5

(5x + 13) = 0
x₂ = -2 3/5

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