Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
80x3−200x2
Evaluate
5(2x2−5x×1)×8x
Multiply the terms
5(2x2−5x)×8x
Multiply the terms
40(2x2−5x)x
Multiply the terms
40x(2x2−5x)
Apply the distributive property
40x×2x2−40x×5x
Multiply the terms
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Evaluate
40x×2x2
Multiply the numbers
80x×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
80x3
80x3−40x×5x
Solution
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Evaluate
40x×5x
Multiply the numbers
200x×x
Multiply the terms
200x2
80x3−200x2
Show Solution
Factor the expression
40x2(2x−5)
Evaluate
5(2x2−5x×1)×8x
Multiply the terms
5(2x2−5x)×8x
Multiply the terms
40(2x2−5x)x
Multiply the terms
40x(2x2−5x)
Factor the expression
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Evaluate
2x2−5x
Rewrite the expression
x×2x−x×5
Factor out x from the expression
x(2x−5)
40x×x(2x−5)
Solution
40x2(2x−5)
Show Solution
Find the roots
x1=0,x2=25
Alternative Form
x1=0,x2=2.5
Evaluate
5(2x2−5x×1)×8x
To find the roots of the expression,set the expression equal to 0
5(2x2−5x×1)×8x=0
Multiply the terms
5(2x2−5x)×8x=0
Multiply
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Multiply the terms
5(2x2−5x)×8x
Multiply the terms
40(2x2−5x)x
Multiply the terms
40x(2x2−5x)
40x(2x2−5x)=0
Elimination the left coefficient
x(2x2−5x)=0
Separate the equation into 2 possible cases
x=02x2−5x=0
Solve the equation
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Evaluate
2x2−5x=0
Factor the expression
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Evaluate
2x2−5x
Rewrite the expression
x×2x−x×5
Factor out x from the expression
x(2x−5)
x(2x−5)=0
When the product of factors equals 0,at least one factor is 0
x=02x−5=0
Solve the equation for x
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Evaluate
2x−5=0
Move the constant to the right-hand side and change its sign
2x=0+5
Removing 0 doesn't change the value,so remove it from the expression
2x=5
Divide both sides
22x=25
Divide the numbers
x=25
x=0x=25
x=0x=0x=25
Find the union
x=0x=25
Solution
x1=0,x2=25
Alternative Form
x1=0,x2=2.5
Show Solution