Basic Math Examples

Solve for b (16b^2)/9+b^2=1296
Step 1
Simplify .
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Step 1.1
To write as a fraction with a common denominator, multiply by .
Step 1.2
Simplify terms.
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Step 1.2.1
Combine and .
Step 1.2.2
Combine the numerators over the common denominator.
Step 1.3
Simplify the numerator.
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Step 1.3.1
Move to the left of .
Step 1.3.2
Add and .
Step 2
Multiply both sides of the equation by .
Step 3
Simplify both sides of the equation.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Combine.
Step 3.1.1.2
Cancel the common factor of .
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Step 3.1.1.2.1
Cancel the common factor.
Step 3.1.1.2.2
Rewrite the expression.
Step 3.1.1.3
Cancel the common factor of .
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Step 3.1.1.3.1
Cancel the common factor.
Step 3.1.1.3.2
Divide by .
Step 3.2
Simplify the right side.
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Step 3.2.1
Multiply .
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Step 3.2.1.1
Combine and .
Step 3.2.1.2
Multiply by .
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 .
Step 5.2
Simplify the numerator.
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Step 5.2.1
Rewrite as .
Step 5.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 5.3
Simplify the denominator.
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Step 5.3.1
Rewrite as .
Step 5.3.2
Pull terms out from under the radical, assuming positive real numbers.
Step 6
The complete solution is the result of both the positive and negative portions of the solution.
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Step 6.1
First, use the positive value of the to find the first solution.
Step 6.2
Next, use the negative value of the to find the second solution.
Step 6.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: