You have come to the correct place if you are looking to solve the quadratic equation negative 20x squared plus 61x minus 14 equals 0, also known as -20x² + 61x - 14 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -20x^2 + 61x - 14 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -20x² + 61x - 14 = 0.
Below is negative 20x squared plus 61x minus 14 in factored form. As you can see, -20x² + 61x - 14 has been grouped into two sets of parentheses.
-(5x - 14)(4x - 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -20x^2 + 61x - 14 = 0.
(5x - 14) = 0
x1 = 2 4/5
(4x - 1) = 0
x2 = 1/4
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