You have come to the correct place if you are looking to solve the quadratic equation 42x squared plus 10x minus 52 equals 0, also known as 42x² + 10x - 52 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 42x^2 + 10x - 52 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 42x² + 10x - 52 = 0.
Below is 42x squared plus 10x minus 52 in factored form. As you can see, 42x² + 10x - 52 has been grouped into two sets of parentheses.
(2x - 2)(21x + 26)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 42x^2 + 10x - 52 = 0.
(2x - 2) = 0
x1 = 1
(21x + 26) = 0
x2 = -1 5/21
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