Solve -25x² + 21x + 58 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 25x squared plus 21x plus 58 equals 0, also known as -25x² + 21x + 58 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -25x^2 + 21x + 58 = 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 + 21x + 58 = 0.

Below is negative 25x squared plus 21x plus 58 in factored form. As you can see, -25x² + 21x + 58 has been grouped into two sets of parentheses.

-(x - 2)(25x + 29)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -25x^2 + 21x + 58 = 0.

(x - 2) = 0
x₁ = 2

(25x + 29) = 0
x₂ = -1 4/25

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