Solve -42x² + 31x + 15 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 42x squared plus 31x plus 15 equals 0, also known as -42x² + 31x + 15 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -42x^2 + 31x + 15 = 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 + 31x + 15 = 0.

Below is negative 42x squared plus 31x plus 15 in factored form. As you can see, -42x² + 31x + 15 has been grouped into two sets of parentheses.

-(14x - 15)(3x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -42x^2 + 31x + 15 = 0.

(14x - 15) = 0
x₁ = 1 1/14

(3x + 1) = 0
x₂ = -1/3

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