Solve -42x² + 32x + 74 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 42x squared plus 32x plus 74 equals 0, also known as -42x² + 32x + 74 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -42x^2 + 32x + 74 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -42x² + 32x + 74 = 0.

Below is negative 42x squared plus 32x plus 74 in factored form. As you can see, -42x² + 32x + 74 has been grouped into two sets of parentheses.

-(42x - 74)(x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -42x^2 + 32x + 74 = 0.

(42x - 74) = 0
x₁ = 1 16/21

(x + 1) = 0
x₂ = -1

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