Solving the Equation (4x1)(4x1) = 0
This equation represents a simple quadratic equation in factored form. Let's break down how to solve it.
Understanding the Equation
The equation (4x1)(4x1) = 0 is already factored, which means it's written as a product of two expressions. For the product of two expressions to equal zero, at least one of them must be zero.
Solving for x

Set each factor equal to zero:
 4x  1 = 0

Solve for x in each equation:
 4x = 1
 x = 1/4
Solution
Since both factors are the same (4x1), we get the same solution twice. Therefore, the solution to the equation (4x1)(4x1) = 0 is x = 1/4.
Key Concepts
 Zero Product Property: If the product of two or more factors is zero, then at least one of the factors must be zero.
 Factoring: Writing an expression as a product of simpler expressions.
 Quadratic Equation: An equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
By understanding these concepts, we can solve quadratic equations in factored form efficiently.