Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
18−630c
Evaluate
cc×10(1−c×7)−c×8×9
Use the commutative property to reorder the terms
cc×10(1−7c)−c×8×9
Use the commutative property to reorder the terms
c10c(1−7c)−c×8×9
Use the commutative property to reorder the terms
c10c(1−7c)−8c×9
Subtract the terms
More Steps
Simplify
10c(1−7c)−8c
Expand the expression
More Steps
Calculate
10c(1−7c)
Apply the distributive property
10c×1−10c×7c
Any expression multiplied by 1 remains the same
10c−10c×7c
Multiply the terms
10c−70c2
10c−70c2−8c
Subtract the terms
More Steps
Evaluate
10c−8c
Collect like terms by calculating the sum or difference of their coefficients
(10−8)c
Subtract the numbers
2c
2c−70c2
c2c−70c2×9
Divide the terms
More Steps
Evaluate
c2c−70c2
Factor
cc(2−70c)
Reduce the fraction
2−70c
(2−70c)×9
Multiply the terms
9(2−70c)
Apply the distributive property
9×2−9×70c
Multiply the numbers
18−9×70c
Solution
18−630c
Show Solution
Find the excluded values
c=0
Evaluate
cc×10(1−c×7)−c×8×9
Solution
c=0
Show Solution
Factor the expression
18(1−35c)
Evaluate
cc×10(1−c×7)−c×8×9
Use the commutative property to reorder the terms
cc×10(1−7c)−c×8×9
Use the commutative property to reorder the terms
c10c(1−7c)−c×8×9
Use the commutative property to reorder the terms
c10c(1−7c)−8c×9
Divide the terms
More Steps
Evaluate
c10c(1−7c)−8c
Factor
cc(10(1−7c)−8)
Reduce the fraction
10(1−7c)−8
(10(1−7c)−8)×9
Simplify
9(10(1−7c)−8)
Factor the expression
More Steps
Evaluate
10(1−7c)−8
Simplify
More Steps
Evaluate
10(1−7c)
Apply the distributive property
10×1+10(−7c)
Any expression multiplied by 1 remains the same
10+10(−7c)
Multiply the terms
10−70c
10−70c−8
Subtract the numbers
2−70c
Factor the expression
2(1−35c)
9×2(1−35c)
Solution
18(1−35c)
Show Solution
Find the roots
c=351
Alternative Form
c=0.02˙85714˙
Evaluate
cc×10(1−c×7)−c×8×9
To find the roots of the expression,set the expression equal to 0
cc×10(1−c×7)−c×8×9=0
Find the domain
cc×10(1−c×7)−c×8×9=0,c=0
Calculate
cc×10(1−c×7)−c×8×9=0
Use the commutative property to reorder the terms
cc×10(1−7c)−c×8×9=0
Use the commutative property to reorder the terms
c10c(1−7c)−c×8×9=0
Use the commutative property to reorder the terms
c10c(1−7c)−8c×9=0
Subtract the terms
More Steps
Simplify
10c(1−7c)−8c
Expand the expression
More Steps
Calculate
10c(1−7c)
Apply the distributive property
10c×1−10c×7c
Any expression multiplied by 1 remains the same
10c−10c×7c
Multiply the terms
10c−70c2
10c−70c2−8c
Subtract the terms
More Steps
Evaluate
10c−8c
Collect like terms by calculating the sum or difference of their coefficients
(10−8)c
Subtract the numbers
2c
2c−70c2
c2c−70c2×9=0
Divide the terms
More Steps
Evaluate
c2c−70c2
Factor
cc(2−70c)
Reduce the fraction
2−70c
(2−70c)×9=0
Multiply the terms
9(2−70c)=0
Rewrite the expression
2−70c=0
Move the constant to the right side
−70c=0−2
Removing 0 doesn't change the value,so remove it from the expression
−70c=−2
Change the signs on both sides of the equation
70c=2
Divide both sides
7070c=702
Divide the numbers
c=702
Cancel out the common factor 2
c=351
Check if the solution is in the defined range
c=351,c=0
Solution
c=351
Alternative Form
c=0.02˙85714˙
Show Solution