Final answer:
To solve the quadratic equation (10x + 6x² - 44) = 0, we can use the quadratic formula. The solutions for x are 2 and -11/3.
Step-by-step explanation:
To solve the quadratic equation (10x + 6x² - 44) = 0, we first rearrange it as 6x² + 10x - 44 = 0. Now we can use the quadratic formula to find the solutions for x.
The quadratic formula is x = (-b ± √(b² - 4ac)) / 2a.
In this equation, a = 6, b = 10, and c = -44.
Substituting the values into the quadratic formula:
x = (-10 ± √(10² - 4 * 6 * -44)) / 2 * 6
Simplifying further:
x = (-10 ± √(100 + 1056)) / 12
x = (-10 ± √1156) / 12
x = (-10 ± 34) / 12
So the solutions for x are x = (24/12) = 2 and x = (-44/12) = -11/3.