Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
10z4−14−340z3
Evaluate
5z×2z3−14−5×2z3×34
Multiply
More Steps
Multiply the terms
5z×2z3
Multiply the terms
10z×z3
Multiply the terms with the same base by adding their exponents
10z1+3
Add the numbers
10z4
10z4−14−5×2z3×34
Solution
More Steps
Multiply the terms
−5×2z3×34
Multiply the terms
More Steps
Evaluate
5×2×34
Multiply the terms
10×34
Multiply the numbers
340
−340z3
10z4−14−340z3
Show Solution
Factor the expression
2(5z4−7−170z3)
Evaluate
5z×2z3−14−5×2z3×34
Multiply
More Steps
Multiply the terms
5z×2z3
Multiply the terms
10z×z3
Multiply the terms with the same base by adding their exponents
10z1+3
Add the numbers
10z4
10z4−14−5×2z3×34
Multiply the terms
More Steps
Multiply the terms
5×2z3×34
Multiply the terms
More Steps
Evaluate
5×2×34
Multiply the terms
10×34
Multiply the numbers
340
340z3
10z4−14−340z3
Solution
2(5z4−7−170z3)
Show Solution
Find the roots
z1≈−0.344158,z2≈34.000036
Evaluate
5z(2z3)−14−5(2z3)×34
To find the roots of the expression,set the expression equal to 0
5z(2z3)−14−5(2z3)×34=0
Multiply the terms
5z×2z3−14−5(2z3)×34=0
Multiply the terms
5z×2z3−14−5×2z3×34=0
Multiply
More Steps
Multiply the terms
5z×2z3
Multiply the terms
10z×z3
Multiply the terms with the same base by adding their exponents
10z1+3
Add the numbers
10z4
10z4−14−5×2z3×34=0
Multiply the terms
More Steps
Multiply the terms
5×2z3×34
Multiply the terms
More Steps
Evaluate
5×2×34
Multiply the terms
10×34
Multiply the numbers
340
340z3
10z4−14−340z3=0
Factor the expression
2(5z4−7−170z3)=0
Divide both sides
5z4−7−170z3=0
Calculate
z≈34.000036z≈−0.344158
Solution
z1≈−0.344158,z2≈34.000036
Show Solution