Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x6−4x5
Evaluate
(4x−4)x5
Multiply the terms
x5(4x−4)
Apply the distributive property
x5×4x−x5×4
Multiply the terms
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Evaluate
x5×4x
Use the commutative property to reorder the terms
4x5×x
Multiply the terms
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Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
4x6
4x6−x5×4
Solution
4x6−4x5
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Factor the expression
4x5(x−1)
Evaluate
(4x−4)x5
Multiply the terms
x5(4x−4)
Factor the expression
x5×4(x−1)
Solution
4x5(x−1)
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Find the roots
x1=0,x2=1
Evaluate
(4x−4)(x5)
To find the roots of the expression,set the expression equal to 0
(4x−4)(x5)=0
Calculate
(4x−4)x5=0
Multiply the terms
x5(4x−4)=0
Separate the equation into 2 possible cases
x5=04x−4=0
The only way a power can be 0 is when the base equals 0
x=04x−4=0
Solve the equation
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Evaluate
4x−4=0
Move the constant to the right-hand side and change its sign
4x=0+4
Removing 0 doesn't change the value,so remove it from the expression
4x=4
Divide both sides
44x=44
Divide the numbers
x=44
Divide the numbers
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Evaluate
44
Reduce the numbers
11
Calculate
1
x=1
x=0x=1
Solution
x1=0,x2=1
Show Solution