QuestionSolve the equation $x(x-1)=0$ . What are the values of $x$ ?

Studdy Solution

STEP 1

Assumptions1. We are given an equation $x(x-1)=0$ . . We need to find the values of $x$ that satisfy this equation.

STEP 2

This equation is a quadratic equation, and it is already factored. The Zero Product Property states that if the product of multiple factors is zero, then at least one of the factors must be zero. Therefore, we can set each factor equal to zero and solve for $x$ .
$x=0$ $x-1=0$

STEP 3

olve the first equation for $x$ .
$x=0$

STEP 4

olve the second equation for $x$ .
$x-1=0$ $x=1$ The solutions to the equation $x(x-1)=0$ are $x=0$ and $x=1$ .

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