Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−30x3+15x2
Evaluate
−5x2(6x−3)
Apply the distributive property
−5x2×6x−(−5x2×3)
Multiply the terms
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Evaluate
−5x2×6x
Multiply the numbers
−30x2×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
−30x3
−30x3−(−5x2×3)
Multiply the numbers
−30x3−(−15x2)
Solution
−30x3+15x2
Show Solution
Factor the expression
−15x2(2x−1)
Evaluate
−5x2(6x−3)
Factor the expression
−5x2×3(2x−1)
Solution
−15x2(2x−1)
Show Solution
Find the roots
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Evaluate
−5x2(6x−3)
To find the roots of the expression,set the expression equal to 0
−5x2(6x−3)=0
Change the sign
5x2(6x−3)=0
Elimination the left coefficient
x2(6x−3)=0
Separate the equation into 2 possible cases
x2=06x−3=0
The only way a power can be 0 is when the base equals 0
x=06x−3=0
Solve the equation
More Steps
Evaluate
6x−3=0
Move the constant to the right-hand side and change its sign
6x=0+3
Removing 0 doesn't change the value,so remove it from the expression
6x=3
Divide both sides
66x=63
Divide the numbers
x=63
Cancel out the common factor 3
x=21
x=0x=21
Solution
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Show Solution