Question
Simplify the expression
7c−20
Evaluate
5c−2(10−c)
Expand the expression
More Steps

Calculate
−2(10−c)
Apply the distributive property
−2×10−(−2c)
Multiply the numbers
−20−(−2c)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−20+2c
5c−20+2c
Solution
More Steps

Evaluate
5c+2c
Collect like terms by calculating the sum or difference of their coefficients
(5+2)c
Add the numbers
7c
7c−20
Show Solution

Find the roots
c=720
Alternative Form
c=2.8˙57142˙
Evaluate
5c−2(10−c)
To find the roots of the expression,set the expression equal to 0
5c−2(10−c)=0
Calculate
More Steps

Evaluate
5c−2(10−c)
Expand the expression
More Steps

Calculate
−2(10−c)
Apply the distributive property
−2×10−(−2c)
Multiply the numbers
−20−(−2c)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−20+2c
5c−20+2c
Add the terms
More Steps

Evaluate
5c+2c
Collect like terms by calculating the sum or difference of their coefficients
(5+2)c
Add the numbers
7c
7c−20
7c−20=0
Move the constant to the right-hand side and change its sign
7c=0+20
Removing 0 doesn't change the value,so remove it from the expression
7c=20
Divide both sides
77c=720
Solution
c=720
Alternative Form
c=2.8˙57142˙
Show Solution
