Question
Simplify the expression
4z4−6z3
Evaluate
2z3(2z−3)
Apply the distributive property
2z3×2z−2z3×3
Multiply the terms
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Evaluate
2z3×2z
Multiply the numbers
4z3×z
Multiply the terms
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Evaluate
z3×z
Use the product rule an×am=an+m to simplify the expression
z3+1
Add the numbers
z4
4z4
4z4−2z3×3
Solution
4z4−6z3
Show Solution

Find the roots
z1=0,z2=23
Alternative Form
z1=0,z2=1.5
Evaluate
(2z3)(2z−3)
To find the roots of the expression,set the expression equal to 0
(2z3)(2z−3)=0
Multiply the terms
2z3(2z−3)=0
Elimination the left coefficient
z3(2z−3)=0
Separate the equation into 2 possible cases
z3=02z−3=0
The only way a power can be 0 is when the base equals 0
z=02z−3=0
Solve the equation
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Evaluate
2z−3=0
Move the constant to the right-hand side and change its sign
2z=0+3
Removing 0 doesn't change the value,so remove it from the expression
2z=3
Divide both sides
22z=23
Divide the numbers
z=23
z=0z=23
Solution
z1=0,z2=23
Alternative Form
z1=0,z2=1.5
Show Solution
