Question
Simplify the expression
28a6−12a
Evaluate
7×4a6−12a
Solution
28a6−12a
Show Solution

Factor the expression
4a(7a5−3)
Evaluate
7×4a6−12a
Multiply the numbers
More Steps

Evaluate
7×4
Multiply the numbers
28
Evaluate
28a6
28a6−12a
Rewrite the expression
4a×7a5−4a×3
Solution
4a(7a5−3)
Show Solution

Find the roots
a1=0,a2=757203
Alternative Form
a1=0,a2≈0.844121
Evaluate
7(4a6)−12a
To find the roots of the expression,set the expression equal to 0
7(4a6)−12a=0
Multiply the terms
7×4a6−12a=0
Multiply the numbers
28a6−12a=0
Factor the expression
4a(7a5−3)=0
Divide both sides
a(7a5−3)=0
Separate the equation into 2 possible cases
a=07a5−3=0
Solve the equation
More Steps

Evaluate
7a5−3=0
Move the constant to the right-hand side and change its sign
7a5=0+3
Removing 0 doesn't change the value,so remove it from the expression
7a5=3
Divide both sides
77a5=73
Divide the numbers
a5=73
Take the 5-th root on both sides of the equation
5a5=573
Calculate
a=573
Simplify the root
More Steps

Evaluate
573
To take a root of a fraction,take the root of the numerator and denominator separately
5753
Multiply by the Conjugate
57×57453×574
Simplify
57×57453×52401
Multiply the numbers
57×57457203
Multiply the numbers
757203
a=757203
a=0a=757203
Solution
a1=0,a2=757203
Alternative Form
a1=0,a2≈0.844121
Show Solution
