Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
35x7−35x6
Evaluate
(7x−7)×5x6
Multiply the terms
5x6(7x−7)
Apply the distributive property
5x6×7x−5x6×7
Multiply the terms
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Evaluate
5x6×7x
Multiply the numbers
35x6×x
Multiply the terms
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Evaluate
x6×x
Use the product rule an×am=an+m to simplify the expression
x6+1
Add the numbers
x7
35x7
35x7−5x6×7
Solution
35x7−35x6
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Factor the expression
35x6(x−1)
Evaluate
(7x−7)×5x6
Multiply the terms
5x6(7x−7)
Factor the expression
5x6×7(x−1)
Solution
35x6(x−1)
Show Solution
Find the roots
x1=0,x2=1
Evaluate
(7x−7)(5x6)
To find the roots of the expression,set the expression equal to 0
(7x−7)(5x6)=0
Multiply the terms
(7x−7)×5x6=0
Multiply the terms
5x6(7x−7)=0
Elimination the left coefficient
x6(7x−7)=0
Separate the equation into 2 possible cases
x6=07x−7=0
The only way a power can be 0 is when the base equals 0
x=07x−7=0
Solve the equation
More Steps
Evaluate
7x−7=0
Move the constant to the right-hand side and change its sign
7x=0+7
Removing 0 doesn't change the value,so remove it from the expression
7x=7
Divide both sides
77x=77
Divide the numbers
x=77
Divide the numbers
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Evaluate
77
Reduce the numbers
11
Calculate
1
x=1
x=0x=1
Solution
x1=0,x2=1
Show Solution