You have come to the correct place if you are looking to solve the quadratic equation 10x squared plus 42x minus 40 equals 0, also known as 10x² + 42x - 40 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 10x^2 + 42x - 40 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 10x² + 42x - 40 = 0.
Below is 10x squared plus 42x minus 40 in factored form. As you can see, 10x² + 42x - 40 has been grouped into two sets of parentheses.
(10x - 8)(x + 5)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 10x^2 + 42x - 40 = 0.
(10x - 8) = 0
x1 = 4/5
(x + 5) = 0
x2 = -5
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