Solve -3x² - 2x + 56 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 3x squared minus 2x plus 56 equals 0, also known as -3x² - 2x + 56 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -3x^2 - 2x + 56 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -3x² - 2x + 56 = 0.

Below is negative 3x squared minus 2x plus 56 in factored form. As you can see, -3x² - 2x + 56 has been grouped into two sets of parentheses.

-(x - 4)(3x + 14)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -3x^2 - 2x + 56 = 0.

(x - 4) = 0
x₁ = 4

(3x + 14) = 0
x₂ = -4 2/3

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