Calculus Examples

Solve for x 8x+720000/(x^2)=0
Step 1
Find the LCD of the terms in the equation.
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Step 1.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 1.2
The LCM of one and any expression is the expression.
Step 2
Multiply each term in by to eliminate the fractions.
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Step 2.1
Multiply each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Simplify each term.
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Step 2.2.1.1
Multiply by by adding the exponents.
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Step 2.2.1.1.1
Move .
Step 2.2.1.1.2
Multiply by .
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Step 2.2.1.1.2.1
Raise to the power of .
Step 2.2.1.1.2.2
Use the power rule to combine exponents.
Step 2.2.1.1.3
Add and .
Step 2.2.1.2
Cancel the common factor of .
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Step 2.2.1.2.1
Cancel the common factor.
Step 2.2.1.2.2
Rewrite the expression.
Step 2.3
Simplify the right side.
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Step 2.3.1
Multiply by .
Step 3
Solve the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Add to both sides of the equation.
Step 3.3
Factor out of .
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Step 3.3.1
Factor out of .
Step 3.3.2
Factor out of .
Step 3.3.3
Factor out of .
Step 3.4
Divide each term in by and simplify.
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Step 3.4.1
Divide each term in by .
Step 3.4.2
Simplify the left side.
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Step 3.4.2.1
Cancel the common factor of .
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Step 3.4.2.1.1
Cancel the common factor.
Step 3.4.2.1.2
Divide by .
Step 3.4.3
Simplify the right side.
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Step 3.4.3.1
Divide by .
Step 3.5
Subtract from both sides of the equation.
Step 3.6
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 3.7
Simplify .
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Step 3.7.1
Rewrite as .
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Step 3.7.1.1
Factor out of .
Step 3.7.1.2
Rewrite as .
Step 3.7.2
Pull terms out from under the radical.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: