Calculus Examples

Solve for x 0=x-1/95x^3
Step 1
Rewrite the equation as .
Step 2
Combine and .
Step 3
Factor out of .
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Step 3.1
Factor out of .
Step 3.2
Factor out of .
Step 3.3
Factor out of .
Step 4
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 5
Set equal to .
Step 6
Set equal to and solve for .
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Step 6.1
Set equal to .
Step 6.2
Solve for .
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Step 6.2.1
Subtract from both sides of the equation.
Step 6.2.2
Multiply both sides of the equation by .
Step 6.2.3
Simplify both sides of the equation.
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Step 6.2.3.1
Simplify the left side.
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Step 6.2.3.1.1
Simplify .
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Step 6.2.3.1.1.1
Cancel the common factor of .
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Step 6.2.3.1.1.1.1
Move the leading negative in into the numerator.
Step 6.2.3.1.1.1.2
Factor out of .
Step 6.2.3.1.1.1.3
Cancel the common factor.
Step 6.2.3.1.1.1.4
Rewrite the expression.
Step 6.2.3.1.1.2
Multiply.
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Step 6.2.3.1.1.2.1
Multiply by .
Step 6.2.3.1.1.2.2
Multiply by .
Step 6.2.3.2
Simplify the right side.
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Step 6.2.3.2.1
Multiply by .
Step 6.2.4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 6.2.5
The complete solution is the result of both the positive and negative portions of the solution.
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Step 6.2.5.1
First, use the positive value of the to find the first solution.
Step 6.2.5.2
Next, use the negative value of the to find the second solution.
Step 6.2.5.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 7
The final solution is all the values that make true.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: