Question
Simplify the expression
80a2+160a
Evaluate
(−2a−4)(−5a×8)
Rewrite the expression
(−2a−4)(−5)a×8
Rewrite the expression
−(−2a−4)×5a×8
Multiply the terms
−(−2a−4)×40a
Multiply the first two terms
(2a+4)×40a
Multiply the terms
40a(2a+4)
Apply the distributive property
40a×2a+40a×4
Multiply the terms
More Steps
Evaluate
40a×2a
Multiply the numbers
80a×a
Multiply the terms
80a2
80a2+40a×4
Solution
80a2+160a
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Factor the expression
80a(a+2)
Evaluate
(−2a−4)(−5a×8)
Multiply the terms
(−2a−4)(−40a)
Multiply the terms
−40a(−2a−4)
Factor the expression
−40a(−2)(a+2)
Solution
80a(a+2)
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Find the roots
a1=−2,a2=0
Evaluate
(−2a−4)(−5a×8)
To find the roots of the expression,set the expression equal to 0
(−2a−4)(−5a×8)=0
Multiply the terms
(−2a−4)(−40a)=0
Multiply the terms
−40a(−2a−4)=0
Change the sign
40a(−2a−4)=0
Elimination the left coefficient
a(−2a−4)=0
Separate the equation into 2 possible cases
a=0−2a−4=0
Solve the equation
More Steps
Evaluate
−2a−4=0
Move the constant to the right-hand side and change its sign
−2a=0+4
Removing 0 doesn't change the value,so remove it from the expression
−2a=4
Change the signs on both sides of the equation
2a=−4
Divide both sides
22a=2−4
Divide the numbers
a=2−4
Divide the numbers
More Steps
Evaluate
2−4
Reduce the numbers
1−2
Calculate
−2
a=−2
a=0a=−2
Solution
a1=−2,a2=0
Show Solution