Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x7−2x8
Evaluate
(2x2−x3)×2x5
Multiply the terms
2x5(2x2−x3)
Apply the distributive property
2x5×2x2−2x5×x3
Multiply the terms
More Steps
Evaluate
2x5×2x2
Multiply the numbers
4x5×x2
Multiply the terms
More Steps
Evaluate
x5×x2
Use the product rule an×am=an+m to simplify the expression
x5+2
Add the numbers
x7
4x7
4x7−2x5×x3
Solution
More Steps
Evaluate
x5×x3
Use the product rule an×am=an+m to simplify the expression
x5+3
Add the numbers
x8
4x7−2x8
Show Solution
Factor the expression
2x7(2−x)
Evaluate
(2x2−x3)×2x5
Multiply the terms
2x5(2x2−x3)
Factor the expression
More Steps
Evaluate
2x2−x3
Rewrite the expression
x2×2−x2×x
Factor out x2 from the expression
x2(2−x)
2x5×x2(2−x)
Solution
2x7(2−x)
Show Solution
Find the roots
x1=0,x2=2
Evaluate
(2x2−x3)(2x5)
To find the roots of the expression,set the expression equal to 0
(2x2−x3)(2x5)=0
Multiply the terms
(2x2−x3)×2x5=0
Multiply the terms
2x5(2x2−x3)=0
Elimination the left coefficient
x5(2x2−x3)=0
Separate the equation into 2 possible cases
x5=02x2−x3=0
The only way a power can be 0 is when the base equals 0
x=02x2−x3=0
Solve the equation
More Steps
Evaluate
2x2−x3=0
Factor the expression
x2(2−x)=0
Separate the equation into 2 possible cases
x2=02−x=0
The only way a power can be 0 is when the base equals 0
x=02−x=0
Solve the equation
More Steps
Evaluate
2−x=0
Move the constant to the right-hand side and change its sign
−x=0−2
Removing 0 doesn't change the value,so remove it from the expression
−x=−2
Change the signs on both sides of the equation
x=2
x=0x=2
x=0x=0x=2
Find the union
x=0x=2
Solution
x1=0,x2=2
Show Solution