Question
(−6a−5)×4a3
Simplify the expression
−24a4−20a3
Evaluate
(−6a−5)×4a3
Multiply the terms
4a3(−6a−5)
Apply the distributive property
4a3(−6a)−4a3×5
Multiply the terms
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Evaluate
4a3(−6a)
Multiply the numbers
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Evaluate
4(−6)
Multiplying or dividing an odd number of negative terms equals a negative
−4×6
Multiply the numbers
−24
−24a3×a
Multiply the terms
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Evaluate
a3×a
Use the product rule an×am=an+m to simplify the expression
a3+1
Add the numbers
a4
−24a4
−24a4−4a3×5
Solution
−24a4−20a3
Show Solution

Find the roots
a1=−65,a2=0
Alternative Form
a1=−0.83˙,a2=0
Evaluate
(−6a−5)(4a3)
To find the roots of the expression,set the expression equal to 0
(−6a−5)(4a3)=0
Multiply the terms
(−6a−5)×4a3=0
Multiply the terms
4a3(−6a−5)=0
Elimination the left coefficient
a3(−6a−5)=0
Separate the equation into 2 possible cases
a3=0−6a−5=0
The only way a power can be 0 is when the base equals 0
a=0−6a−5=0
Solve the equation
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Evaluate
−6a−5=0
Move the constant to the right-hand side and change its sign
−6a=0+5
Removing 0 doesn't change the value,so remove it from the expression
−6a=5
Change the signs on both sides of the equation
6a=−5
Divide both sides
66a=6−5
Divide the numbers
a=6−5
Use b−a=−ba=−ba to rewrite the fraction
a=−65
a=0a=−65
Solution
a1=−65,a2=0
Alternative Form
a1=−0.83˙,a2=0
Show Solution
