Answer:
x=0 & x=1/4
Explanation:
Step 1: Move all terms to one side of the equation so that it equals zero. In this case, we already have the equation equal to zero, so we can move on to the next step. Step 2: Factor. To factor the equation, we need to find the common factors of the terms. In this case, the common factor is x: x(4x - 1) = 0 Step 3: Set each factor equal to zero and solve. To find the solutions, set each factor equal to zero: x = 0 and 4x - 1 = 0 For the first equation, x = 0, we have a single solution: x = 0. For the second equation, 4x - 1 = 0, we isolate x by adding 1 to both sides: 4x = 1 Then, we divide both sides by 4 to solve for x: x = 1/4 Therefore, the solutions to the equation 4x² - x = 0 are x = 0 and x = 1/4