Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−256a−516a2
Evaluate
−8(4a×8)−3a×2×86a
Remove the parentheses
−8×4a×8−3a×2×86a
Multiply the terms
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Multiply the terms
−8×4a×8
Multiply the terms
More Steps
Evaluate
8×4×8
Multiply the terms
32×8
Multiply the numbers
256
−256a
−256a−3a×2×86a
Solution
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Multiply the terms
3a×2×86a
Multiply the terms
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Evaluate
3×2×86
Multiply the terms
6×86
Multiply the numbers
516
516a×a
Multiply the terms
516a2
−256a−516a2
Show Solution
Factor the expression
−4a(64+129a)
Evaluate
−8(4a×8)−3a×2×86a
Remove the parentheses
−8×4a×8−3a×2×86a
Multiply the terms
−8×32a−3a×2×86a
Multiply the numbers
More Steps
Evaluate
−8×32
Multiply the numbers
−256
Evaluate
−256a
−256a−3a×2×86a
Multiply
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Multiply the terms
3a×2×86a
Multiply the terms
More Steps
Evaluate
3×2×86
Multiply the terms
6×86
Multiply the numbers
516
516a×a
Multiply the terms
516a2
−256a−516a2
Rewrite the expression
−4a×64−4a×129a
Solution
−4a(64+129a)
Show Solution
Find the roots
a1=−12964,a2=0
Alternative Form
a1≈−0.496124,a2=0
Evaluate
−8(4a×8)−(3a)×2(86a)
To find the roots of the expression,set the expression equal to 0
−8(4a×8)−(3a)×2(86a)=0
Multiply the terms
−8×32a−(3a)×2(86a)=0
Multiply the terms
−8×32a−3a×2(86a)=0
Multiply the terms
−8×32a−3a×2×86a=0
Multiply the numbers
−256a−3a×2×86a=0
Multiply
More Steps
Multiply the terms
3a×2×86a
Multiply the terms
More Steps
Evaluate
3×2×86
Multiply the terms
6×86
Multiply the numbers
516
516a×a
Multiply the terms
516a2
−256a−516a2=0
Factor the expression
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Evaluate
−256a−516a2
Rewrite the expression
−4a×64−4a×129a
Factor out −4a from the expression
−4a(64+129a)
−4a(64+129a)=0
When the product of factors equals 0,at least one factor is 0
−4a=064+129a=0
Solve the equation for a
More Steps
Evaluate
−4a=0
Change the signs on both sides of the equation
4a=0
Rewrite the expression
a=0
a=064+129a=0
Solve the equation for a
More Steps
Evaluate
64+129a=0
Move the constant to the right-hand side and change its sign
129a=0−64
Removing 0 doesn't change the value,so remove it from the expression
129a=−64
Divide both sides
129129a=129−64
Divide the numbers
a=129−64
Use b−a=−ba=−ba to rewrite the fraction
a=−12964
a=0a=−12964
Solution
a1=−12964,a2=0
Alternative Form
a1≈−0.496124,a2=0
Show Solution