Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
24x−100
Evaluate
4x−4(5−x)×5
Multiply the terms
4x−20(5−x)
Expand the expression
More Steps
Calculate
−20(5−x)
Apply the distributive property
−20×5−(−20x)
Multiply the numbers
−100−(−20x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−100+20x
4x−100+20x
Solution
More Steps
Evaluate
4x+20x
Collect like terms by calculating the sum or difference of their coefficients
(4+20)x
Add the numbers
24x
24x−100
Show Solution
Factor the expression
4(6x−25)
Evaluate
4x−4(5−x)×5
Multiply the terms
4x−20(5−x)
Simplify
More Steps
Evaluate
−20(5−x)
Apply the distributive property
−20×5−20(−x)
Multiply the terms
−100−20(−x)
Multiply the terms
−100+20x
4x−100+20x
Add the terms
More Steps
Evaluate
4x+20x
Collect like terms by calculating the sum or difference of their coefficients
(4+20)x
Add the numbers
24x
24x−100
Solution
4(6x−25)
Show Solution
Find the roots
x=625
Alternative Form
x=4.16˙
Evaluate
4x−4(5−x)×5
To find the roots of the expression,set the expression equal to 0
4x−4(5−x)×5=0
Multiply the terms
4x−20(5−x)=0
Calculate
More Steps
Evaluate
4x−20(5−x)
Expand the expression
More Steps
Calculate
−20(5−x)
Apply the distributive property
−20×5−(−20x)
Multiply the numbers
−100−(−20x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−100+20x
4x−100+20x
Add the terms
More Steps
Evaluate
4x+20x
Collect like terms by calculating the sum or difference of their coefficients
(4+20)x
Add the numbers
24x
24x−100
24x−100=0
Move the constant to the right-hand side and change its sign
24x=0+100
Removing 0 doesn't change the value,so remove it from the expression
24x=100
Divide both sides
2424x=24100
Divide the numbers
x=24100
Solution
x=625
Alternative Form
x=4.16˙
Show Solution