To solve the equation -4x(x - 8) = -32 for x, we can follow these steps:
1. Expand the equation: -4x(x - 8) = -32 becomes -4x^2 + 32x = -32.
2. Move all terms to one side of the equation: -4x^2 + 32x + 32 = 0.
3. Divide the entire equation by -4 to simplify it: x^2 - 8x - 8 = 0.
4. Then we can solve for x by factoring or applying the quadratic formula.
Considering the equation is in the form ax^2 + bx + c = 0, we can try factoring.
The factors of -8 that also give -8x when added are -4 and 2.
Therefore, x^2 - 8x - 8 = (x - 4)(x + 2) = 0.
5. Set each factor equal to zero independently:
x - 4 = 0 - > x = 4
x + 2 = 0 - > x = -2
Thus, the solutions to the equation are x = 4 and x = -2.
What is a solution to the question -4x (x - 8 )= -32 when solving for x
1 answer