(4-m)(8+2/3m)(-2-3m)=0

Jasonbradley

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Jun 16, 2024

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Solving the Cubic Equation: (4-m)(8+2/3m)(-2-3m) = 0

This equation represents a cubic equation, meaning it has a highest power of 3 for the variable 'm'. To solve for 'm', we can use the zero product property:

Zero Product Property: If the product of two or more factors is zero, then at least one of the factors must be zero.

Applying this to our equation, we can set each factor to zero and solve for 'm':

1. 4 - m = 0 Solving for 'm', we get: m = 4

2. 8 + 2/3m = 0 Solving for 'm', we get: m = -12

3. -2 - 3m = 0 Solving for 'm', we get: m = -2/3

Therefore, the solutions to the equation (4-m)(8+2/3m)(-2-3m) = 0 are:

m = 4, m = -12, and m = -2/3

These are the three values of 'm' that make the equation true.