Solve -10x² + 74x + 84 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 10x squared plus 74x plus 84 equals 0, also known as -10x² + 74x + 84 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -10x^2 + 74x + 84 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -10x² + 74x + 84 = 0.

Below is negative 10x squared plus 74x plus 84 in factored form. As you can see, -10x² + 74x + 84 has been grouped into two sets of parentheses.

-(10x - 84)(x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -10x^2 + 74x + 84 = 0.

(10x - 84) = 0
x₁ = 8 2/5

(x + 1) = 0
x₂ = -1

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