Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−2x
Evaluate
4x2×41−2x
Solution
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Evaluate
4×41
Reduce the fraction
1×1
Any expression multiplied by 1 remains the same
1
x2−2x
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Factor the expression
x(x−2)
Evaluate
4x2×41−2x
Multiply the terms
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Evaluate
4×41
Reduce the fraction
1×1
Any expression multiplied by 1 remains the same
1
x2−2x
Rewrite the expression
x×x−x×2
Solution
x(x−2)
Show Solution
Find the roots
x1=0,x2=2
Evaluate
4x2×41−2x
To find the roots of the expression,set the expression equal to 0
4x2×41−2x=0
Multiply the terms
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Multiply the terms
4x2×41
Multiply the terms
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Evaluate
4×41
Reduce the fraction
1×1
Any expression multiplied by 1 remains the same
1
x2
x2−2x=0
Factor the expression
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Evaluate
x2−2x
Rewrite the expression
x×x−x×2
Factor out x from the expression
x(x−2)
x(x−2)=0
When the product of factors equals 0,at least one factor is 0
x=0x−2=0
Solve the equation for x
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Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=0x=2
Solution
x1=0,x2=2
Show Solution