Question
Simplify the expression
2p−35p7
Evaluate
7p−5p−5p3×p×7p2×p
Multiply
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Multiply the terms
−5p3×p×7p2×p
Multiply the terms
−35p3×p×p2×p
Multiply the terms with the same base by adding their exponents
−35p3+1+2+1
Add the numbers
−35p7
7p−5p−35p7
Solution
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Evaluate
7p−5p
Collect like terms by calculating the sum or difference of their coefficients
(7−5)p
Subtract the numbers
2p
2p−35p7
Show Solution

Factor the expression
p(2−35p6)
Evaluate
7p−5p−5p3×p×7p2×p
Multiply
More Steps

Multiply the terms
5p3×p×7p2×p
Multiply the terms
35p3×p×p2×p
Multiply the terms with the same base by adding their exponents
35p3+1+2+1
Add the numbers
35p7
7p−5p−35p7
Subtract the terms
More Steps

Simplify
7p−5p
Collect like terms by calculating the sum or difference of their coefficients
(7−5)p
Subtract the numbers
2p
2p−35p7
Rewrite the expression
p×2−p×35p6
Solution
p(2−35p6)
Show Solution

Find the roots
p1=−3562×355,p2=0,p3=3562×355
Alternative Form
p1≈−0.620622,p2=0,p3≈0.620622
Evaluate
7p−5p−5p3×p×7p2×p
To find the roots of the expression,set the expression equal to 0
7p−5p−5p3×p×7p2×p=0
Multiply
More Steps

Multiply the terms
5p3×p×7p2×p
Multiply the terms
35p3×p×p2×p
Multiply the terms with the same base by adding their exponents
35p3+1+2+1
Add the numbers
35p7
7p−5p−35p7=0
Subtract the terms
More Steps

Simplify
7p−5p
Collect like terms by calculating the sum or difference of their coefficients
(7−5)p
Subtract the numbers
2p
2p−35p7=0
Factor the expression
p(2−35p6)=0
Separate the equation into 2 possible cases
p=02−35p6=0
Solve the equation
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Evaluate
2−35p6=0
Move the constant to the right-hand side and change its sign
−35p6=0−2
Removing 0 doesn't change the value,so remove it from the expression
−35p6=−2
Change the signs on both sides of the equation
35p6=2
Divide both sides
3535p6=352
Divide the numbers
p6=352
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±6352
Simplify the expression
More Steps

Evaluate
6352
To take a root of a fraction,take the root of the numerator and denominator separately
63562
Multiply by the Conjugate
635×635562×6355
The product of roots with the same index is equal to the root of the product
635×635562×355
Multiply the numbers
3562×355
p=±3562×355
Separate the equation into 2 possible cases
p=3562×355p=−3562×355
p=0p=3562×355p=−3562×355
Solution
p1=−3562×355,p2=0,p3=3562×355
Alternative Form
p1≈−0.620622,p2=0,p3≈0.620622
Show Solution
