Solve -34x² + 45x + 100 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 34x squared plus 45x plus 100 equals 0, also known as -34x² + 45x + 100 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -34x^2 + 45x + 100 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -34x² + 45x + 100 = 0.

Below is negative 34x squared plus 45x plus 100 in factored form. As you can see, -34x² + 45x + 100 has been grouped into two sets of parentheses.

-(2x - 5)(17x + 20)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -34x^2 + 45x + 100 = 0.

(2x - 5) = 0
x₁ = 2 1/2

(17x + 20) = 0
x₂ = -1 3/17

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