Final answer:
The given quadratic equation x² + 1.2x - 2x - 6 = 0 can be simplified and solved using the quadratic formula.
Step-by-step explanation:
The equation x² + 1.2x - 2x - 6 = 0 can be simplified to x² - 0.8x - 6 = 0. This equation can be solved using the quadratic formula.
The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x can be found using the formula: x = (-b ± sqrt(b² - 4ac))/(2a).
Applying this formula to the equation x² - 0.8x - 6 = 0, we have a = 1, b = -0.8, and c = -6. Plugging these values into the formula, the solutions for x are approximately x = 3.74 and x = -1.94.