Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=0,x2=1,x3=6
Evaluate
7x4−6x3=x5
Move the expression to the left side
7x4−6x3−x5=0
Factor the expression
−x3(6−x)(1−x)=0
Separate the equation into 3 possible cases
−x3=06−x=01−x=0
Solve the equation
More Steps
Evaluate
−x3=0
Change the signs on both sides of the equation
x3=0
The only way a power can be 0 is when the base equals 0
x=0
x=06−x=01−x=0
Solve the equation
More Steps
Evaluate
6−x=0
Move the constant to the right-hand side and change its sign
−x=0−6
Removing 0 doesn't change the value,so remove it from the expression
−x=−6
Change the signs on both sides of the equation
x=6
x=0x=61−x=0
Solve the equation
More Steps
Evaluate
1−x=0
Move the constant to the right-hand side and change its sign
−x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−x=−1
Change the signs on both sides of the equation
x=1
x=0x=6x=1
Solution
x1=0,x2=1,x3=6
Show Solution
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