You have come to the correct place if you are looking to solve the quadratic equation 45x squared minus 45x plus 10 equals 0, also known as 45x² - 45x + 10 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 45x^2 - 45x + 10 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 45x² - 45x + 10 = 0.
Below is 45x squared minus 45x plus 10 in factored form. As you can see, 45x² - 45x + 10 has been grouped into two sets of parentheses.
(15x - 10)(3x - 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 45x^2 - 45x + 10 = 0.
(15x - 10) = 0
x1 = 2/3
(3x - 1) = 0
x2 = 1/3
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