Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
12x3−3x2
Evaluate
3x(4x2−x)
Apply the distributive property
3x×4x2−3x×x
Multiply the terms
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Evaluate
3x×4x2
Multiply the numbers
12x×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
12x3
12x3−3x×x
Solution
12x3−3x2
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Factor the expression
3x2(4x−1)
Evaluate
3x(4x2−x)
Factor the expression
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Evaluate
4x2−x
Rewrite the expression
x×4x−x
Factor out x from the expression
x(4x−1)
3x×x(4x−1)
Solution
3x2(4x−1)
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Find the roots
x1=0,x2=41
Alternative Form
x1=0,x2=0.25
Evaluate
3x(4x2−x)
To find the roots of the expression,set the expression equal to 0
3x(4x2−x)=0
Elimination the left coefficient
x(4x2−x)=0
Separate the equation into 2 possible cases
x=04x2−x=0
Solve the equation
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Evaluate
4x2−x=0
Factor the expression
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Evaluate
4x2−x
Rewrite the expression
x×4x−x
Factor out x from the expression
x(4x−1)
x(4x−1)=0
When the product of factors equals 0,at least one factor is 0
x=04x−1=0
Solve the equation for x
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Evaluate
4x−1=0
Move the constant to the right-hand side and change its sign
4x=0+1
Removing 0 doesn't change the value,so remove it from the expression
4x=1
Divide both sides
44x=41
Divide the numbers
x=41
x=0x=41
x=0x=0x=41
Find the union
x=0x=41
Solution
x1=0,x2=41
Alternative Form
x1=0,x2=0.25
Show Solution