Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
e3−10ex
Evaluate
e2×e−x×10e×1
Calculate the product
e3−x×10e×1
Solution
More Steps
Multiply the terms
x×10e×1
Rewrite the expression
x×10e
Use the commutative property to reorder the terms
10xe
Multiply the numbers
10ex
e3−10ex
Show Solution
Factor the expression
e(e2−10x)
Evaluate
e2×e−x×10e×1
Calculate the product
e3−x×10e×1
Multiply the terms
More Steps
Multiply the terms
x×10e×1
Rewrite the expression
x×10e
Use the commutative property to reorder the terms
10xe
Multiply the numbers
10ex
e3−10ex
Solution
e(e2−10x)
Show Solution
Find the roots
x=10e2
Alternative Form
x≈0.738906
Evaluate
e2×e−x×10e×1
To find the roots of the expression,set the expression equal to 0
e2×e−x×10e×1=0
Calculate the product
e3−x×10e×1=0
Multiply the terms
More Steps
Multiply the terms
x×10e×1
Rewrite the expression
x×10e
Use the commutative property to reorder the terms
10xe
Multiply the numbers
10ex
e3−10ex=0
Move the constant to the right-hand side and change its sign
−10ex=0−e3
Removing 0 doesn't change the value,so remove it from the expression
−10ex=−e3
Change the signs on both sides of the equation
10ex=e3
Divide both sides
10e10ex=10ee3
Divide the numbers
x=10ee3
Solution
More Steps
Evaluate
ee3
Use the product rule aman=an−m to simplify the expression
e3−1
Subtract the terms
e2
x=10e2
Alternative Form
x≈0.738906
Show Solution