Solve -16x² - 76x + 42 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 16x squared minus 76x plus 42 equals 0, also known as -16x² - 76x + 42 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -16x^2 - 76x + 42 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -16x² - 76x + 42 = 0.

Below is negative 16x squared minus 76x plus 42 in factored form. As you can see, -16x² - 76x + 42 has been grouped into two sets of parentheses.

-(4x - 2)(4x + 21)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -16x^2 - 76x + 42 = 0.

(4x - 2) = 0
x₁ = 1/2

(4x + 21) = 0
x₂ = -5 1/4

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