Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=0,x2=70
Evaluate
x=5x×14
Find the domain
More Steps
Evaluate
5x×14≥0
Multiply the terms
70x≥0
Rewrite the expression
x≥0
x=5x×14,x≥0
Multiply the terms
x=70x
Swap the sides
70x=x
Evaluate
70x=x,x≥0
Solve the equation for x
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Evaluate
70x=x
Raise both sides of the equation to the 2-th power to eliminate the isolated 2-th root
(70x)2=x2
Evaluate the power
70x=x2
Move the expression to the left side
70x−x2=0
Factor the expression
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Evaluate
70x−x2
Rewrite the expression
x×70−x×x
Factor out x from the expression
x(70−x)
x(70−x)=0
When the product of factors equals 0,at least one factor is 0
x=070−x=0
Solve the equation for x
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Evaluate
70−x=0
Move the constant to the right-hand side and change its sign
−x=0−70
Removing 0 doesn't change the value,so remove it from the expression
−x=−70
Change the signs on both sides of the equation
x=70
x=0x=70
x=0x=70,x≥0
Find the intersection of the solution and the defined range
x=0x=70
Check the solution
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Check the solution
0=5×0×14
Simplify
0=0
Evaluate
true
x=0x=70
Check the solution
More Steps
Check the solution
70=5×70×14
Simplify
70=70
Evaluate
true
x=0x=70
Solution
x1=0,x2=70
Show Solution
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