Question
Simplify the expression
8x2−4x
Evaluate
2x(6x−2x−2)
Subtract the terms
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Evaluate
6x−2x
Collect like terms by calculating the sum or difference of their coefficients
(6−2)x
Subtract the numbers
4x
2x(4x−2)
Apply the distributive property
2x×4x−2x×2
Multiply the terms
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Evaluate
2x×4x
Multiply the numbers
8x×x
Multiply the terms
8x2
8x2−2x×2
Solution
8x2−4x
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Factor the expression
4x(2x−1)
Evaluate
2x(6x−2x−2)
Subtract the terms
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Evaluate
6x−2x
Collect like terms by calculating the sum or difference of their coefficients
(6−2)x
Subtract the numbers
4x
2x(4x−2)
Factor the expression
2x×2(2x−1)
Solution
4x(2x−1)
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Find the roots
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Evaluate
(2x)(6x−2x−2)
To find the roots of the expression,set the expression equal to 0
(2x)(6x−2x−2)=0
Multiply the terms
2x(6x−2x−2)=0
Subtract the terms
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Simplify
6x−2x
Collect like terms by calculating the sum or difference of their coefficients
(6−2)x
Subtract the numbers
4x
2x(4x−2)=0
Elimination the left coefficient
x(4x−2)=0
Separate the equation into 2 possible cases
x=04x−2=0
Solve the equation
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Evaluate
4x−2=0
Move the constant to the right-hand side and change its sign
4x=0+2
Removing 0 doesn't change the value,so remove it from the expression
4x=2
Divide both sides
44x=42
Divide the numbers
x=42
Cancel out the common factor 2
x=21
x=0x=21
Solution
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Show Solution
