Question Simplify the expression x2−512x3 Evaluate x2−8x3×64Solution x2−512x3 Show Solution Factor the expression x2(1−512x) Evaluate x2−8x3×64Multiply the terms x2−512x3Rewrite the expression x2−x2×512xSolution x2(1−512x) Show Solution Find the roots x1=0,x2=5121Alternative Form x1=0,x2=0.001953125 Evaluate x2−8x3×64To find the roots of the expression,set the expression equal to 0 x2−8x3×64=0Multiply the terms x2−512x3=0Factor the expression x2(1−512x)=0Separate the equation into 2 possible cases x2=01−512x=0The only way a power can be 0 is when the base equals 0 x=01−512x=0Solve the equation More Steps Evaluate 1−512x=0Move the constant to the right-hand side and change its sign −512x=0−1Removing 0 doesn't change the value,so remove it from the expression −512x=−1Change the signs on both sides of the equation 512x=1Divide both sides 512512x=5121Divide the numbers x=5121 x=0x=5121Solution x1=0,x2=5121Alternative Form x1=0,x2=0.001953125 Show Solution