Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
14a126a−3
Evaluate
18−9−a429
Cancel out the common factor 3
18−9−a143
Divide the terms
More Steps
Evaluate
a143
Multiply by the reciprocal
143×a1
Multiply the terms
14a3
18−9−14a3
Subtract the numbers
9−14a3
Reduce fractions to a common denominator
14a9×14a−14a3
Write all numerators above the common denominator
14a9×14a−3
Solution
14a126a−3
Show Solution
Find the excluded values
a=0
Evaluate
18−9−a429
Solution
a=0
Show Solution
Find the roots
a=421
Alternative Form
a=0.02˙38095˙
Evaluate
18−9−a429
To find the roots of the expression,set the expression equal to 0
18−9−a429=0
Find the domain
18−9−a429=0,a=0
Calculate
18−9−a429=0
Cancel out the common factor 3
18−9−a143=0
Divide the terms
More Steps
Evaluate
a143
Multiply by the reciprocal
143×a1
Multiply the terms
14a3
18−9−14a3=0
Subtract the numbers
9−14a3=0
Subtract the terms
More Steps
Simplify
9−14a3
Reduce fractions to a common denominator
14a9×14a−14a3
Write all numerators above the common denominator
14a9×14a−3
Multiply the terms
14a126a−3
14a126a−3=0
Cross multiply
126a−3=14a×0
Simplify the equation
126a−3=0
Move the constant to the right side
126a=0+3
Removing 0 doesn't change the value,so remove it from the expression
126a=3
Divide both sides
126126a=1263
Divide the numbers
a=1263
Cancel out the common factor 3
a=421
Check if the solution is in the defined range
a=421,a=0
Solution
a=421
Alternative Form
a=0.02˙38095˙
Show Solution