Solve -4x² + 58x + 96 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 4x squared plus 58x plus 96 equals 0, also known as -4x² + 58x + 96 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -4x^2 + 58x + 96 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -4x² + 58x + 96 = 0.

Below is negative 4x squared plus 58x plus 96 in factored form. As you can see, -4x² + 58x + 96 has been grouped into two sets of parentheses.

-(2x - 32)(2x + 3)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -4x^2 + 58x + 96 = 0.

(2x - 32) = 0
x₁ = 16

(2x + 3) = 0
x₂ = -1 1/2

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