Solve -14x² - 26x + 48 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 14x squared minus 26x plus 48 equals 0, also known as -14x² - 26x + 48 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -14x^2 - 26x + 48 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -14x² - 26x + 48 = 0.

Below is negative 14x squared minus 26x plus 48 in factored form. As you can see, -14x² - 26x + 48 has been grouped into two sets of parentheses.

-(14x - 16)(x + 3)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -14x^2 - 26x + 48 = 0.

(14x - 16) = 0
x₁ = 1 1/7

(x + 3) = 0
x₂ = -3

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