Solve -5x² + 14x + 19 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 5x squared plus 14x plus 19 equals 0, also known as -5x² + 14x + 19 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -5x^2 + 14x + 19 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -5x² + 14x + 19 = 0.

Below is negative 5x squared plus 14x plus 19 in factored form. As you can see, -5x² + 14x + 19 has been grouped into two sets of parentheses.

-(5x - 19)(x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -5x^2 + 14x + 19 = 0.

(5x - 19) = 0
x₁ = 3 4/5

(x + 1) = 0
x₂ = -1

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