You have come to the correct place if you are looking to solve the quadratic equation negative 12x squared plus 58x minus 26 equals 0, also known as -12x² + 58x - 26 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -12x^2 + 58x - 26 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -12x² + 58x - 26 = 0.
Below is negative 12x squared plus 58x minus 26 in factored form. As you can see, -12x² + 58x - 26 has been grouped into two sets of parentheses.
-(6x - 26)(2x - 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -12x^2 + 58x - 26 = 0.
(6x - 26) = 0
x1 = 4 1/3
(2x - 1) = 0
x2 = 1/2
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