Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2−1×x
Evaluate
−4x2
The root of a product is equal to the product of the roots of each factor
4x2×−1
Evaluate the root
More Steps
Evaluate
4x2
Transform the expression
(2x)2
Reduce the index of the radical and exponent with nan=a
2x
2x−1
Solution
2−1×x
Show Solution
Find the roots
x=0
Evaluate
−4x2
To find the roots of the expression,set the expression equal to 0
−4x2=0
Find the domain
More Steps
Evaluate
−4x2≥0
Since the left-hand side is always negative or 0,and the right-hand side is always 0,the statement is true only when −4x2=0
−4x2=0
Change the signs on both sides of the equation
4x2=0
Rewrite the expression
x2=0
The only way a power can be 0 is when the base equals 0
x=0
−4x2=0,x=0
Calculate
−4x2=0
Simplify the root
More Steps
Evaluate
−4x2
The root of a product is equal to the product of the roots of each factor
4x2×−1
Evaluate the root
More Steps
Evaluate
4x2
Transform the expression
(2x)2
Reduce the index of the radical and exponent with nan=a
2∣x∣
2∣x∣×−1
Use the commutative property to reorder the terms
2−1×∣x∣
2−1×∣x∣=0
Rewrite the expression
∣x∣=0
Solution
x=0
Show Solution