Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−2a22a+7
Evaluate
3−14−a621
Cancel out the common factor 3
3−14−a27
Divide the terms
More Steps
Evaluate
a27
Multiply by the reciprocal
27×a1
Multiply the terms
2a7
3−14−2a7
Subtract the numbers
−11−2a7
Reduce fractions to a common denominator
−2a11×2a−2a7
Write all numerators above the common denominator
2a−11×2a−7
Multiply the terms
2a−22a−7
Solution
−2a22a+7
Show Solution
Find the excluded values
a=0
Evaluate
3−14−a621
Solution
a=0
Show Solution
Find the roots
a=−227
Alternative Form
a=−0.31˙8˙
Evaluate
3−14−a621
To find the roots of the expression,set the expression equal to 0
3−14−a621=0
Find the domain
3−14−a621=0,a=0
Calculate
3−14−a621=0
Cancel out the common factor 3
3−14−a27=0
Divide the terms
More Steps
Evaluate
a27
Multiply by the reciprocal
27×a1
Multiply the terms
2a7
3−14−2a7=0
Subtract the numbers
−11−2a7=0
Subtract the terms
More Steps
Simplify
−11−2a7
Reduce fractions to a common denominator
−2a11×2a−2a7
Write all numerators above the common denominator
2a−11×2a−7
Multiply the terms
2a−22a−7
Use b−a=−ba=−ba to rewrite the fraction
−2a22a+7
−2a22a+7=0
Rewrite the expression
2a−22a−7=0
Cross multiply
−22a−7=2a×0
Simplify the equation
−22a−7=0
Move the constant to the right side
−22a=0+7
Removing 0 doesn't change the value,so remove it from the expression
−22a=7
Change the signs on both sides of the equation
22a=−7
Divide both sides
2222a=22−7
Divide the numbers
a=22−7
Use b−a=−ba=−ba to rewrite the fraction
a=−227
Check if the solution is in the defined range
a=−227,a=0
Solution
a=−227
Alternative Form
a=−0.31˙8˙
Show Solution