Question
Simplify the expression
35x3−14x
Evaluate
(x×7)(5x2−2)
Remove the parentheses
x×7(5x2−2)
Use the commutative property to reorder the terms
7x(5x2−2)
Apply the distributive property
7x×5x2−7x×2
Multiply the terms
More Steps

Evaluate
7x×5x2
Multiply the numbers
35x×x2
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
35x3
35x3−7x×2
Solution
35x3−14x
Show Solution

Find the roots
x1=−510,x2=0,x3=510
Alternative Form
x1≈−0.632456,x2=0,x3≈0.632456
Evaluate
(x×7)(5x2−2)
To find the roots of the expression,set the expression equal to 0
(x×7)(5x2−2)=0
Use the commutative property to reorder the terms
7x(5x2−2)=0
Elimination the left coefficient
x(5x2−2)=0
Separate the equation into 2 possible cases
x=05x2−2=0
Solve the equation
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Evaluate
5x2−2=0
Move the constant to the right-hand side and change its sign
5x2=0+2
Removing 0 doesn't change the value,so remove it from the expression
5x2=2
Divide both sides
55x2=52
Divide the numbers
x2=52
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±52
Simplify the expression
More Steps

Evaluate
52
To take a root of a fraction,take the root of the numerator and denominator separately
52
Multiply by the Conjugate
5×52×5
Multiply the numbers
5×510
When a square root of an expression is multiplied by itself,the result is that expression
510
x=±510
Separate the equation into 2 possible cases
x=510x=−510
x=0x=510x=−510
Solution
x1=−510,x2=0,x3=510
Alternative Form
x1≈−0.632456,x2=0,x3≈0.632456
Show Solution
