Question
Simplify the expression
210q4−84q3
Evaluate
3q2×2q×7(5q−2)
Multiply the terms
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Evaluate
3×2×7
Multiply the terms
6×7
Multiply the numbers
42
42q2×q(5q−2)
Multiply the terms with the same base by adding their exponents
42q2+1(5q−2)
Add the numbers
42q3(5q−2)
Apply the distributive property
42q3×5q−42q3×2
Multiply the terms
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Evaluate
42q3×5q
Multiply the numbers
210q3×q
Multiply the terms
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Evaluate
q3×q
Use the product rule an×am=an+m to simplify the expression
q3+1
Add the numbers
q4
210q4
210q4−42q3×2
Solution
210q4−84q3
Show Solution

Find the roots
q1=0,q2=52
Alternative Form
q1=0,q2=0.4
Evaluate
3q2×2q×7(5q−2)
To find the roots of the expression,set the expression equal to 0
3q2×2q×7(5q−2)=0
Multiply
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Multiply the terms
3q2×2q×7(5q−2)
Multiply the terms
More Steps

Evaluate
3×2×7
Multiply the terms
6×7
Multiply the numbers
42
42q2×q(5q−2)
Multiply the terms with the same base by adding their exponents
42q2+1(5q−2)
Add the numbers
42q3(5q−2)
42q3(5q−2)=0
Elimination the left coefficient
q3(5q−2)=0
Separate the equation into 2 possible cases
q3=05q−2=0
The only way a power can be 0 is when the base equals 0
q=05q−2=0
Solve the equation
More Steps

Evaluate
5q−2=0
Move the constant to the right-hand side and change its sign
5q=0+2
Removing 0 doesn't change the value,so remove it from the expression
5q=2
Divide both sides
55q=52
Divide the numbers
q=52
q=0q=52
Solution
q1=0,q2=52
Alternative Form
q1=0,q2=0.4
Show Solution
