Solve -10x² + 75x + 40 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 10x squared plus 75x plus 40 equals 0, also known as -10x² + 75x + 40 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -10x^2 + 75x + 40 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -10x² + 75x + 40 = 0.

Below is negative 10x squared plus 75x plus 40 in factored form. As you can see, -10x² + 75x + 40 has been grouped into two sets of parentheses.

-(5x - 40)(2x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -10x^2 + 75x + 40 = 0.

(5x - 40) = 0
x₁ = 8

(2x + 1) = 0
x₂ = -1/2

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