Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
275x−275x2
Evaluate
(5−5x)×55x
Multiply the terms
55x(5−5x)
Apply the distributive property
55x×5−55x×5x
Multiply the numbers
275x−55x×5x
Solution
More Steps
Evaluate
55x×5x
Multiply the numbers
275x×x
Multiply the terms
275x2
275x−275x2
Show Solution
Factor the expression
275x(1−x)
Evaluate
(5−5x)×55x
Multiply the terms
55x(5−5x)
Factor the expression
55x×5(1−x)
Solution
275x(1−x)
Show Solution
Find the roots
x1=0,x2=1
Evaluate
(5−5x)(55x)
To find the roots of the expression,set the expression equal to 0
(5−5x)(55x)=0
Multiply the terms
(5−5x)×55x=0
Multiply the terms
55x(5−5x)=0
Elimination the left coefficient
x(5−5x)=0
Separate the equation into 2 possible cases
x=05−5x=0
Solve the equation
More Steps
Evaluate
5−5x=0
Move the constant to the right-hand side and change its sign
−5x=0−5
Removing 0 doesn't change the value,so remove it from the expression
−5x=−5
Change the signs on both sides of the equation
5x=5
Divide both sides
55x=55
Divide the numbers
x=55
Divide the numbers
More Steps
Evaluate
55
Reduce the numbers
11
Calculate
1
x=1
x=0x=1
Solution
x1=0,x2=1
Show Solution