You have come to the correct place if you are looking to solve the quadratic equation 32x squared plus 12x minus 5 equals 0, also known as 32x² + 12x - 5 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 32x^2 + 12x - 5 = 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 + 12x - 5 = 0.
Below is 32x squared plus 12x minus 5 in factored form. As you can see, 32x² + 12x - 5 has been grouped into two sets of parentheses.
(4x - 1)(8x + 5)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 32x^2 + 12x - 5 = 0.
(4x - 1) = 0
x1 = 1/4
(8x + 5) = 0
x2 = -5/8
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