Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−4u3−3u2
Evaluate
7−28u2−21u×u
Divide the terms
More Steps
Evaluate
7−28u2−21u
Use b−a=−ba=−ba to rewrite the fraction
−728u2+21u
Factor
−77(4u2+3u)
Reduce the fraction
−(4u2+3u)
Calculate
−4u2−3u
(−4u2−3u)u
Multiply the terms
u(−4u2−3u)
Apply the distributive property
u(−4u2)−u×3u
Multiply the terms
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Evaluate
u(−4u2)
Use the commutative property to reorder the terms
−4u×u2
Multiply the terms
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Evaluate
u×u2
Use the product rule an×am=an+m to simplify the expression
u1+2
Add the numbers
u3
−4u3
−4u3−u×3u
Solution
More Steps
Evaluate
u×3u
Use the commutative property to reorder the terms
3u×u
Multiply the terms
3u2
−4u3−3u2
Show Solution
Factor the expression
−u2(4u+3)
Evaluate
7−28u2−21u×u
Divide the terms
More Steps
Evaluate
7−28u2−21u
Use b−a=−ba=−ba to rewrite the fraction
−728u2+21u
Factor
−77(4u2+3u)
Reduce the fraction
−(4u2+3u)
Calculate
−4u2−3u
(−4u2−3u)u
Multiply the terms
u(−4u2−3u)
Factor the expression
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Evaluate
−4u2−3u
Rewrite the expression
−u×4u−u×3
Factor out −u from the expression
−u(4u+3)
u(−u)(4u+3)
Solution
−u2(4u+3)
Show Solution
Find the roots
u1=−43,u2=0
Alternative Form
u1=−0.75,u2=0
Evaluate
7−28u2−21u×u
To find the roots of the expression,set the expression equal to 0
7−28u2−21u×u=0
Divide the terms
More Steps
Evaluate
7−28u2−21u
Use b−a=−ba=−ba to rewrite the fraction
−728u2+21u
Factor
−77(4u2+3u)
Reduce the fraction
−(4u2+3u)
Calculate
−4u2−3u
(−4u2−3u)u=0
Multiply the terms
u(−4u2−3u)=0
Separate the equation into 2 possible cases
u=0−4u2−3u=0
Solve the equation
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Evaluate
−4u2−3u=0
Factor the expression
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Evaluate
−4u2−3u
Rewrite the expression
−u×4u−u×3
Factor out −u from the expression
−u(4u+3)
−u(4u+3)=0
When the product of factors equals 0,at least one factor is 0
−u=04u+3=0
Solve the equation for u
u=04u+3=0
Solve the equation for u
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Evaluate
4u+3=0
Move the constant to the right-hand side and change its sign
4u=0−3
Removing 0 doesn't change the value,so remove it from the expression
4u=−3
Divide both sides
44u=4−3
Divide the numbers
u=4−3
Use b−a=−ba=−ba to rewrite the fraction
u=−43
u=0u=−43
u=0u=0u=−43
Find the union
u=0u=−43
Solution
u1=−43,u2=0
Alternative Form
u1=−0.75,u2=0
Show Solution