Question Simplify the expression 10z4−50z5−5z Evaluate 10z4−10z3×5z2−5zSolution More Steps Evaluate −10z3×5z2Multiply the terms −50z3×z2Multiply the terms with the same base by adding their exponents −50z3+2Add the numbers −50z5 10z4−50z5−5z Show Solution Factor the expression 5z(2z3−10z4−1) Evaluate 10z4−10z3×5z2−5zMultiply More Steps Evaluate 10z3×5z2Multiply the terms 50z3×z2Multiply the terms with the same base by adding their exponents 50z3+2Add the numbers 50z5 10z4−50z5−5zRewrite the expression 5z×2z3−5z×10z4−5zSolution 5z(2z3−10z4−1) Show Solution Find the roots z=0 Evaluate 10z4−10z3×5z2−5zTo find the roots of the expression,set the expression equal to 0 10z4−10z3×5z2−5z=0Multiply More Steps Multiply the terms 10z3×5z2Multiply the terms 50z3×z2Multiply the terms with the same base by adding their exponents 50z3+2Add the numbers 50z5 10z4−50z5−5z=0Factor the expression 5z(2z3−10z4−1)=0Divide both sides z(2z3−10z4−1)=0Separate the equation into 2 possible cases z=02z3−10z4−1=0Solve the equation z=0z∈/RSolution z=0 Show Solution