Question
Simplify the expression
−24x3+6x2
Evaluate
−2(4x−1)×3x2
Multiply the terms
−6(4x−1)x2
Multiply the terms
−6x2(4x−1)
Apply the distributive property
−6x2×4x−(−6x2×1)
Multiply the terms
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Evaluate
−6x2×4x
Multiply the numbers
−24x2×x
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
−24x3
−24x3−(−6x2×1)
Any expression multiplied by 1 remains the same
−24x3−(−6x2)
Solution
−24x3+6x2
Show Solution

Find the roots
x1=0,x2=41
Alternative Form
x1=0,x2=0.25
Evaluate
−2(4x−1)×3(x2)
To find the roots of the expression,set the expression equal to 0
−2(4x−1)×3(x2)=0
Calculate
−2(4x−1)×3x2=0
Multiply
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Multiply the terms
−2(4x−1)×3x2
Multiply the terms
−6(4x−1)x2
Multiply the terms
−6x2(4x−1)
−6x2(4x−1)=0
Change the sign
6x2(4x−1)=0
Elimination the left coefficient
x2(4x−1)=0
Separate the equation into 2 possible cases
x2=04x−1=0
The only way a power can be 0 is when the base equals 0
x=04x−1=0
Solve the equation
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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
Solution
x1=0,x2=41
Alternative Form
x1=0,x2=0.25
Show Solution
