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(2/3-2x)(x+4/5)=0

less than a minute read Jun 16, 2024
(2/3-2x)(x+4/5)=0

Solving the Equation (2/3 - 2x)(x + 4/5) = 0

This equation involves a product of two factors that equals zero. This allows us to utilize the Zero Product Property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

Therefore, we need to solve the following two equations:

1. 2/3 - 2x = 0

  • Solve for x:
    • Subtract 2/3 from both sides: -2x = -2/3
    • Divide both sides by -2: x = 1/3

2. x + 4/5 = 0

  • Solve for x:
    • Subtract 4/5 from both sides: x = -4/5

Therefore, the solutions to the original equation (2/3 - 2x)(x + 4/5) = 0 are x = 1/3 and x = -4/5.

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