Solve -100x² - 21x + 72 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 100x squared minus 21x plus 72 equals 0, also known as -100x² - 21x + 72 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -100x^2 - 21x + 72 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -100x² - 21x + 72 = 0.

Below is negative 100x squared minus 21x plus 72 in factored form. As you can see, -100x² - 21x + 72 has been grouped into two sets of parentheses.

-(4x - 3)(25x + 24)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -100x^2 - 21x + 72 = 0.

(4x - 3) = 0
x₁ = 3/4

(25x + 24) = 0
x₂ = -24/25

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