Solve -25x² + 20x + 60 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 25x squared plus 20x plus 60 equals 0, also known as -25x² + 20x + 60 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -25x^2 + 20x + 60 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -25x² + 20x + 60 = 0.

Below is negative 25x squared plus 20x plus 60 in factored form. As you can see, -25x² + 20x + 60 has been grouped into two sets of parentheses.

-(5x - 10)(5x + 6)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -25x^2 + 20x + 60 = 0.

(5x - 10) = 0
x₁ = 2

(5x + 6) = 0
x₂ = -1 1/5

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