Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=0
Evaluate
214x=−x
Find the domain
More Steps
Evaluate
214x≥0
Rewrite the expression
x≥0
214x=−x,x≥0
Evaluate
214x=−x,−x≥0
Change the signs on both sides of the inequality and flip the inequality sign
214x=−x,x≤0
Solve the equation for x
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Evaluate
214x=−x
Raise both sides of the equation to the 2-th power to eliminate the isolated 2-th root
(214x)2=(−x)2
Evaluate the power
214x=x2
Move the expression to the left side
214x−x2=0
Factor the expression
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Evaluate
214x−x2
Rewrite the expression
x×214−x×x
Factor out x from the expression
x(214−x)
x(214−x)=0
When the product of factors equals 0,at least one factor is 0
x=0214−x=0
Solve the equation for x
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Evaluate
214−x=0
Move the constant to the right-hand side and change its sign
−x=0−214
Removing 0 doesn't change the value,so remove it from the expression
−x=−214
Change the signs on both sides of the equation
x=214
x=0x=214
x=0x=214,x≤0
Find the intersection
x=0
Check if the solution is in the defined range
x=0,x≥0
Find the intersection of the solution and the defined range
x=0
Solution
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Check the solution
214×0=−1×0
Simplify
0=0
Evaluate
true
x=0
Show Solution
Graph
