Pre-Algebra Examples

Solve for x 3x^2nx+5=0
Step 1
Multiply by by adding the exponents.
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Step 1.1
Move .
Step 1.2
Multiply by .
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Step 1.2.1
Raise to the power of .
Step 1.2.2
Use the power rule to combine exponents.
Step 1.3
Add and .
Step 2
Subtract from both sides of the equation.
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Rewrite the expression.
Step 3.2.2
Cancel the common factor of .
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Step 3.2.2.1
Cancel the common factor.
Step 3.2.2.2
Divide by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Move the negative in front of the fraction.
Step 4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 5
Simplify .
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Step 5.1
Rewrite as .
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Step 5.1.1
Rewrite as .
Step 5.1.2
Rewrite as .
Step 5.2
Pull terms out from under the radical.
Step 5.3
Raise to the power of .
Step 5.4
Rewrite as .
Step 5.5
Multiply by .
Step 5.6
Combine and simplify the denominator.
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Step 5.6.1
Multiply by .
Step 5.6.2
Raise to the power of .
Step 5.6.3
Use the power rule to combine exponents.
Step 5.6.4
Add and .
Step 5.6.5
Rewrite as .
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Step 5.6.5.1
Use to rewrite as .
Step 5.6.5.2
Apply the power rule and multiply exponents, .
Step 5.6.5.3
Combine and .
Step 5.6.5.4
Cancel the common factor of .
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Step 5.6.5.4.1
Cancel the common factor.
Step 5.6.5.4.2
Rewrite the expression.
Step 5.6.5.5
Simplify.
Step 5.7
Simplify the numerator.
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Step 5.7.1
Rewrite as .
Step 5.7.2
Apply the product rule to .
Step 5.7.3
Raise to the power of .
Step 5.8
Simplify the numerator.
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Step 5.8.1
Combine using the product rule for radicals.
Step 5.8.2
Multiply by .