Solve -64x² + 48x + 16 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 64x squared plus 48x plus 16 equals 0, also known as -64x² + 48x + 16 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -64x^2 + 48x + 16 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -64x² + 48x + 16 = 0.

Below is negative 64x squared plus 48x plus 16 in factored form. As you can see, -64x² + 48x + 16 has been grouped into two sets of parentheses.

-(16x - 16)(4x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -64x^2 + 48x + 16 = 0.

(16x - 16) = 0
x₁ = 1

(4x + 1) = 0
x₂ = -1/4

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