Question

Andre solved an equation, but when he checked his answer he saw his solution was incorrect. he knows he made a mistake, but he can't find it. Solve the equation: -2(3x-5) = 4(x³) - 8². What is the value of x?

Answer 1

There is no value of x that satisfies the equation -2(3x-5) = 4(x³) - 8².

Step-by-step explanation:

We can solve the equation step-by-step as follows:

1. Expand both sides of the equation:
   -6x + 10 = 4x³ - 64
2. Rearrange the equation:
   4x³ + 6x - 10 + 64 = 0
3. Combine like terms:
   4x³ + 6x + 54 = 0
4. Apply the quadratic formula where a = 4, b = 6, and c = 54:
   x = (-b ± √(b² - 4ac)) / (2a)
5. Calculate the discriminant:
   b² - 4ac = (6)² - 4(4)(54) = -288
6. Since the discriminant is negative, there are no real solutions to the equation.

Therefore, there is no value of x that satisfies the equation.