Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2x(x−10)(x+10)
Evaluate
2x3−200x
Factor out 2x from the expression
2x(x2−100)
Solution
More Steps
Evaluate
x2−100
Rewrite the expression in exponential form
x2−102
Use a2−b2=(a−b)(a+b) to factor the expression
(x−10)(x+10)
2x(x−10)(x+10)
Show Solution
Find the roots
x1=−10,x2=0,x3=10
Evaluate
2x3−200x
To find the roots of the expression,set the expression equal to 0
2x3−200x=0
Factor the expression
2x(x2−100)=0
Divide both sides
x(x2−100)=0
Separate the equation into 2 possible cases
x=0x2−100=0
Solve the equation
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Evaluate
x2−100=0
Move the constant to the right-hand side and change its sign
x2=0+100
Removing 0 doesn't change the value,so remove it from the expression
x2=100
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±100
Simplify the expression
More Steps
Evaluate
100
Write the number in exponential form with the base of 10
102
Reduce the index of the radical and exponent with 2
10
x=±10
Separate the equation into 2 possible cases
x=10x=−10
x=0x=10x=−10
Solution
x1=−10,x2=0,x3=10
Show Solution