Trigonometry Examples

Solve for x (y^2)/12+(x^2)/9=1
Step 1
Subtract from both sides of the equation.
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
Cancel the common factor of .
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Step 3.1.1.1
Cancel the common factor.
Step 3.1.1.2
Rewrite the expression.
Step 3.2
Simplify the right side.
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Step 3.2.1
Simplify .
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Step 3.2.1.1
Apply the distributive property.
Step 3.2.1.2
Multiply by .
Step 3.2.1.3
Cancel the common factor of .
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Step 3.2.1.3.1
Move the leading negative in into the numerator.
Step 3.2.1.3.2
Factor out of .
Step 3.2.1.3.3
Factor out of .
Step 3.2.1.3.4
Cancel the common factor.
Step 3.2.1.3.5
Rewrite the expression.
Step 3.2.1.4
Combine and .
Step 3.2.1.5
Simplify the expression.
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Step 3.2.1.5.1
Multiply by .
Step 3.2.1.5.2
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
To write as a fraction with a common denominator, multiply by .
Step 5.2
Simplify terms.
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Step 5.2.1
Combine and .
Step 5.2.2
Combine the numerators over the common denominator.
Step 5.3
Simplify the numerator.
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Step 5.3.1
Factor out of .
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Step 5.3.1.1
Factor out of .
Step 5.3.1.2
Factor out of .
Step 5.3.1.3
Factor out of .
Step 5.3.2
Multiply by .
Step 5.4
Rewrite as .
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Step 5.4.1
Factor the perfect power out of .
Step 5.4.2
Factor the perfect power out of .
Step 5.4.3
Rearrange the fraction .
Step 5.5
Pull terms out from under the radical.
Step 5.6
Combine and .
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.