Algebra
Calculus
Trigonometry
Matrix
Question
Solve the system of equations
x1=0,x2=2
Evaluate
{x2=x×xx×x=2x
Calculate
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Evaluate
x2=x×x
Multiply the terms
x2=x2
The statement is true for any value of x
x∈R
{x∈Rx×x=2x
Calculate
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Evaluate
x×x=2x
Multiply the terms
x2=2x
Move the expression to the left side
x2−2x=0
Factor the expression
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Evaluate
x2−2x
Rewrite the expression
x×x−x×2
Factor out x from the expression
x(x−2)
x(x−2)=0
When the product of factors equals 0,at least one factor is 0
x=0x−2=0
Solve the equation for x
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Evaluate
x−2=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
x=0x=2
Calculate
x=0∪x=2
{x∈Rx=0∪x=2
Find the intersection
x=0∪x=2
Check the solution
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Check the solution
{02=0×00×0=2×0
Simplify
{0=00=0
Evaluate
true
x=0∪x=2
Check the solution
More Steps
Check the solution
{22=2×22×2=2×2
Simplify
{4=44=4
Evaluate
true
x=0∪x=2
Solution
x1=0,x2=2
Show Solution
