Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=0,x2=1
Evaluate
(x2−x)2×5(x2−x)×4=0
Multiply
More Steps
Evaluate
(x2−x)2×5(x2−x)×4
Multiply the terms with the same base by adding their exponents
(x2−x)2+1×5×4
Add the numbers
(x2−x)3×5×4
Multiply the terms
(x2−x)3×20
Use the commutative property to reorder the terms
20(x2−x)3
20(x2−x)3=0
Rewrite the expression
(x2−x)3=0
The only way a power can be 0 is when the base equals 0
x2−x=0
Factor the expression
More Steps
Evaluate
x2−x
Rewrite the expression
x×x−x
Factor out x from the expression
x(x−1)
x(x−1)=0
When the product of factors equals 0,at least one factor is 0
x=0x−1=0
Solve the equation for x
More Steps
Evaluate
x−1=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
x=0x=1
Solution
x1=0,x2=1
Show Solution
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