Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x−60x2
Evaluate
3x−2(3x×1)x×10
Remove the parentheses
3x−2×3x×1×x×10
Solution
More Steps
Evaluate
2×3x×1×x×10
Rewrite the expression
2×3x×x×10
Multiply the terms
More Steps
Evaluate
2×3×10
Multiply the terms
6×10
Multiply the numbers
60
60x×x
Multiply the terms
60x2
3x−60x2
Show Solution
Factor the expression
3x(1−20x)
Evaluate
3x−2(3x×1)x×10
Remove the parentheses
3x−2×3x×1×x×10
Multiply the terms
3x−2×3x×x×10
Multiply
More Steps
Multiply the terms
2×3x×x×10
Multiply the terms
More Steps
Evaluate
2×3×10
Multiply the terms
6×10
Multiply the numbers
60
60x×x
Multiply the terms
60x2
3x−60x2
Rewrite the expression
3x−3x×20x
Solution
3x(1−20x)
Show Solution
Find the roots
x1=0,x2=201
Alternative Form
x1=0,x2=0.05
Evaluate
3x−2(3x×1)x×10
To find the roots of the expression,set the expression equal to 0
3x−2(3x×1)x×10=0
Multiply the terms
3x−2×3x×x×10=0
Multiply
More Steps
Multiply the terms
2×3x×x×10
Multiply the terms
More Steps
Evaluate
2×3×10
Multiply the terms
6×10
Multiply the numbers
60
60x×x
Multiply the terms
60x2
3x−60x2=0
Factor the expression
More Steps
Evaluate
3x−60x2
Rewrite the expression
3x−3x×20x
Factor out 3x from the expression
3x(1−20x)
3x(1−20x)=0
When the product of factors equals 0,at least one factor is 0
3x=01−20x=0
Solve the equation for x
x=01−20x=0
Solve the equation for x
More Steps
Evaluate
1−20x=0
Move the constant to the right-hand side and change its sign
−20x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−20x=−1
Change the signs on both sides of the equation
20x=1
Divide both sides
2020x=201
Divide the numbers
x=201
x=0x=201
Solution
x1=0,x2=201
Alternative Form
x1=0,x2=0.05
Show Solution