Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−42z3−35z2
Evaluate
7z2(−6z−5)
Apply the distributive property
7z2(−6z)−7z2×5
Multiply the terms
More Steps
Evaluate
7z2(−6z)
Multiply the numbers
More Steps
Evaluate
7(−6)
Multiplying or dividing an odd number of negative terms equals a negative
−7×6
Multiply the numbers
−42
−42z2×z
Multiply the terms
More Steps
Evaluate
z2×z
Use the product rule an×am=an+m to simplify the expression
z2+1
Add the numbers
z3
−42z3
−42z3−7z2×5
Solution
−42z3−35z2
Show Solution
Find the roots
z1=−65,z2=0
Alternative Form
z1=−0.83˙,z2=0
Evaluate
(7z2)(−6z−5)
To find the roots of the expression,set the expression equal to 0
(7z2)(−6z−5)=0
Multiply the terms
7z2(−6z−5)=0
Elimination the left coefficient
z2(−6z−5)=0
Separate the equation into 2 possible cases
z2=0−6z−5=0
The only way a power can be 0 is when the base equals 0
z=0−6z−5=0
Solve the equation
More Steps
Evaluate
−6z−5=0
Move the constant to the right-hand side and change its sign
−6z=0+5
Removing 0 doesn't change the value,so remove it from the expression
−6z=5
Change the signs on both sides of the equation
6z=−5
Divide both sides
66z=6−5
Divide the numbers
z=6−5
Use b−a=−ba=−ba to rewrite the fraction
z=−65
z=0z=−65
Solution
z1=−65,z2=0
Alternative Form
z1=−0.83˙,z2=0
Show Solution