Solve -72x² + 15x + 57 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 72x squared plus 15x plus 57 equals 0, also known as -72x² + 15x + 57 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -72x^2 + 15x + 57 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -72x² + 15x + 57 = 0.

Below is negative 72x squared plus 15x plus 57 in factored form. As you can see, -72x² + 15x + 57 has been grouped into two sets of parentheses.

-(3x - 3)(24x + 19)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -72x^2 + 15x + 57 = 0.

(3x - 3) = 0
x₁ = 1

(24x + 19) = 0
x₂ = -19/24

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