Solve -30x² - 22x + 24 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 30x squared minus 22x plus 24 equals 0, also known as -30x² - 22x + 24 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -30x^2 - 22x + 24 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -30x² - 22x + 24 = 0.

Below is negative 30x squared minus 22x plus 24 in factored form. As you can see, -30x² - 22x + 24 has been grouped into two sets of parentheses.

-(10x - 6)(3x + 4)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -30x^2 - 22x + 24 = 0.

(10x - 6) = 0
x₁ = 3/5

(3x + 4) = 0
x₂ = -1 1/3

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