Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−3z4+18z2
Evaluate
−3z2(z2−6)
Apply the distributive property
−3z2×z2−(−3z2×6)
Multiply the terms
More Steps
Evaluate
z2×z2
Use the product rule an×am=an+m to simplify the expression
z2+2
Add the numbers
z4
−3z4−(−3z2×6)
Multiply the numbers
−3z4−(−18z2)
Solution
−3z4+18z2
Show Solution
Find the roots
z1=−6,z2=0,z3=6
Alternative Form
z1≈−2.44949,z2=0,z3≈2.44949
Evaluate
−3z2(z2−6)
To find the roots of the expression,set the expression equal to 0
−3z2(z2−6)=0
Change the sign
3z2(z2−6)=0
Elimination the left coefficient
z2(z2−6)=0
Separate the equation into 2 possible cases
z2=0z2−6=0
The only way a power can be 0 is when the base equals 0
z=0z2−6=0
Solve the equation
More Steps
Evaluate
z2−6=0
Move the constant to the right-hand side and change its sign
z2=0+6
Removing 0 doesn't change the value,so remove it from the expression
z2=6
Take the root of both sides of the equation and remember to use both positive and negative roots
z=±6
Separate the equation into 2 possible cases
z=6z=−6
z=0z=6z=−6
Solution
z1=−6,z2=0,z3=6
Alternative Form
z1≈−2.44949,z2=0,z3≈2.44949
Show Solution