Question
Simplify the expression
12x3−60x2
Evaluate
3(x−5)×4x2
Multiply the terms
12(x−5)x2
Multiply the terms
12x2(x−5)
Apply the distributive property
12x2×x−12x2×5
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
12x3−12x2×5
Solution
12x3−60x2
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Find the roots
x1=0,x2=5
Evaluate
3(x−5)×4(x2)
To find the roots of the expression,set the expression equal to 0
3(x−5)×4(x2)=0
Calculate
3(x−5)×4x2=0
Multiply
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Multiply the terms
3(x−5)×4x2
Multiply the terms
12(x−5)x2
Multiply the terms
12x2(x−5)
12x2(x−5)=0
Elimination the left coefficient
x2(x−5)=0
Separate the equation into 2 possible cases
x2=0x−5=0
The only way a power can be 0 is when the base equals 0
x=0x−5=0
Solve the equation
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Evaluate
x−5=0
Move the constant to the right-hand side and change its sign
x=0+5
Removing 0 doesn't change the value,so remove it from the expression
x=5
x=0x=5
Solution
x1=0,x2=5
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