Trigonometry Examples

Solve for x (x+7)/(x-3)*(forx)=8
Step 1
Factor each term.
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Step 1.1
Multiply by .
Step 1.2
Combine and .
Step 1.3
Combine and .
Step 1.4
Combine and .
Step 1.5
Combine and .
Step 1.6
Remove parentheses.
Step 1.7
Remove parentheses.
Step 1.8
Remove parentheses.
Step 2
Find the LCD of the terms in the equation.
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Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
Remove parentheses.
Step 2.3
The LCM of one and any expression is the expression.
Step 3
Multiply each term in by to eliminate the fractions.
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Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Simplify terms.
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Step 3.2.1.1
Cancel the common factor of .
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Step 3.2.1.1.1
Cancel the common factor.
Step 3.2.1.1.2
Rewrite the expression.
Step 3.2.1.2
Apply the distributive property.
Step 3.2.1.3
Move to the left of .
Step 3.2.2
Remove parentheses.
Step 3.2.3
Apply the distributive property.
Step 3.2.4
Multiply by by adding the exponents.
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Step 3.2.4.1
Move .
Step 3.2.4.2
Multiply by .
Step 3.3
Simplify the right side.
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Step 3.3.1
Apply the distributive property.
Step 3.3.2
Multiply by .
Step 4
Solve the equation.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Add to both sides of the equation.
Step 4.3
Use the quadratic formula to find the solutions.
Step 4.4
Substitute the values , , and into the quadratic formula and solve for .
Step 4.5
Simplify the numerator.
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Step 4.5.1
Apply the distributive property.
Step 4.5.2
Multiply by .
Step 4.5.3
Multiply by .
Step 4.5.4
Remove parentheses.
Step 4.5.5
Rewrite as .
Step 4.5.6
Expand using the FOIL Method.
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Step 4.5.6.1
Apply the distributive property.
Step 4.5.6.2
Apply the distributive property.
Step 4.5.6.3
Apply the distributive property.
Step 4.5.7
Simplify and combine like terms.
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Step 4.5.7.1
Simplify each term.
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Step 4.5.7.1.1
Multiply by by adding the exponents.
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Step 4.5.7.1.1.1
Move .
Step 4.5.7.1.1.2
Multiply by .
Step 4.5.7.1.2
Multiply by by adding the exponents.
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Step 4.5.7.1.2.1
Move .
Step 4.5.7.1.2.2
Multiply by .
Step 4.5.7.1.3
Multiply by by adding the exponents.
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Step 4.5.7.1.3.1
Move .
Step 4.5.7.1.3.2
Multiply by .
Step 4.5.7.1.4
Multiply by .
Step 4.5.7.1.5
Multiply by .
Step 4.5.7.1.6
Multiply by .
Step 4.5.7.1.7
Multiply by .
Step 4.5.7.2
Subtract from .
Step 4.5.8
Multiply by .
Step 4.5.9
Subtract from .
Step 4.6
The final answer is the combination of both solutions.