Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
21x7−6x5−35x3+10x
Evaluate
(3x4−5)(7x3−2x)
Apply the distributive property
3x4×7x3−3x4×2x−5×7x3−(−5×2x)
Multiply the terms
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Evaluate
3x4×7x3
Multiply the numbers
21x4×x3
Multiply the terms
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Evaluate
x4×x3
Use the product rule an×am=an+m to simplify the expression
x4+3
Add the numbers
x7
21x7
21x7−3x4×2x−5×7x3−(−5×2x)
Multiply the terms
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Evaluate
3x4×2x
Multiply the numbers
6x4×x
Multiply the terms
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Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
6x5
21x7−6x5−5×7x3−(−5×2x)
Multiply the numbers
21x7−6x5−35x3−(−5×2x)
Multiply the numbers
21x7−6x5−35x3−(−10x)
Solution
21x7−6x5−35x3+10x
Show Solution
Factor the expression
x(3x4−5)(7x2−2)
Evaluate
(3x4−5)(7x3−2x)
Factor the expression
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Evaluate
7x3−2x
Rewrite the expression
x×7x2−x×2
Factor out x from the expression
x(7x2−2)
(3x4−5)x(7x2−2)
Solution
x(3x4−5)(7x2−2)
Show Solution
Find the roots
x1=−34135,x2=−714,x3=0,x4=714,x5=34135
Alternative Form
x1≈−1.136219,x2≈−0.534522,x3=0,x4≈0.534522,x5≈1.136219
Evaluate
(3x4−5)(7x3−2x)
To find the roots of the expression,set the expression equal to 0
(3x4−5)(7x3−2x)=0
Separate the equation into 2 possible cases
3x4−5=07x3−2x=0
Solve the equation
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Evaluate
3x4−5=0
Move the constant to the right-hand side and change its sign
3x4=0+5
Removing 0 doesn't change the value,so remove it from the expression
3x4=5
Divide both sides
33x4=35
Divide the numbers
x4=35
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±435
Simplify the expression
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Evaluate
435
To take a root of a fraction,take the root of the numerator and denominator separately
4345
Multiply by the Conjugate
43×43345×433
Simplify
43×43345×427
Multiply the numbers
43×4334135
Multiply the numbers
34135
x=±34135
Separate the equation into 2 possible cases
x=34135x=−34135
x=34135x=−341357x3−2x=0
Solve the equation
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Evaluate
7x3−2x=0
Factor the expression
x(7x2−2)=0
Separate the equation into 2 possible cases
x=07x2−2=0
Solve the equation
More Steps
Evaluate
7x2−2=0
Move the constant to the right-hand side and change its sign
7x2=0+2
Removing 0 doesn't change the value,so remove it from the expression
7x2=2
Divide both sides
77x2=72
Divide the numbers
x2=72
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±72
Simplify the expression
x=±714
Separate the equation into 2 possible cases
x=714x=−714
x=0x=714x=−714
x=34135x=−34135x=0x=714x=−714
Solution
x1=−34135,x2=−714,x3=0,x4=714,x5=34135
Alternative Form
x1≈−1.136219,x2≈−0.534522,x3=0,x4≈0.534522,x5≈1.136219
Show Solution