Solve -42x² + 32x + 10 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 42x squared plus 32x plus 10 equals 0, also known as -42x² + 32x + 10 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -42x^2 + 32x + 10 = 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 + 10 = 0.

Below is negative 42x squared plus 32x plus 10 in factored form. As you can see, -42x² + 32x + 10 has been grouped into two sets of parentheses.

-(2x - 2)(21x + 5)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -42x^2 + 32x + 10 = 0.

(2x - 2) = 0
x₁ = 1

(21x + 5) = 0
x₂ = -5/21

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