You have come to the correct place if you are looking to solve the quadratic equation 32x squared plus 45x minus 38 equals 0, also known as 32x² + 45x - 38 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 32x^2 + 45x - 38 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 32x² + 45x - 38 = 0.
Below is 32x squared plus 45x minus 38 in factored form. As you can see, 32x² + 45x - 38 has been grouped into two sets of parentheses.
(32x - 19)(x + 2)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 32x^2 + 45x - 38 = 0.
(32x - 19) = 0
x1 = 19/32
(x + 2) = 0
x2 = -2
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