Trigonometry Examples

Solve for x y=(x+9)+(74/(x+5))
Step 1
Rewrite the equation as .
Step 2
Find the LCD of the terms in the equation.
Tap for more steps...
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.
Tap for more steps...
Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
Tap for more steps...
Step 3.2.1
Simplify each term.
Tap for more steps...
Step 3.2.1.1
Apply the distributive property.
Step 3.2.1.2
Multiply by .
Step 3.2.1.3
Move to the left of .
Step 3.2.1.4
Apply the distributive property.
Step 3.2.1.5
Multiply by .
Step 3.2.1.6
Cancel the common factor of .
Tap for more steps...
Step 3.2.1.6.1
Cancel the common factor.
Step 3.2.1.6.2
Rewrite the expression.
Step 3.2.2
Simplify by adding terms.
Tap for more steps...
Step 3.2.2.1
Add and .
Step 3.2.2.2
Add and .
Step 3.3
Simplify the right side.
Tap for more steps...
Step 3.3.1
Apply the distributive property.
Step 3.3.2
Move to the left of .
Step 4
Solve the equation.
Tap for more steps...
Step 4.1
Subtract from both sides of the equation.
Step 4.2
Subtract from 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.
Tap for more steps...
Step 4.5.1
Simplify the numerator.
Tap for more steps...
Step 4.5.1.1
Apply the distributive property.
Step 4.5.1.2
Multiply by .
Step 4.5.1.3
Multiply .
Tap for more steps...
Step 4.5.1.3.1
Multiply by .
Step 4.5.1.3.2
Multiply by .
Step 4.5.1.4
Rewrite as .
Step 4.5.1.5
Expand using the FOIL Method.
Tap for more steps...
Step 4.5.1.5.1
Apply the distributive property.
Step 4.5.1.5.2
Apply the distributive property.
Step 4.5.1.5.3
Apply the distributive property.
Step 4.5.1.6
Simplify and combine like terms.
Tap for more steps...
Step 4.5.1.6.1
Simplify each term.
Tap for more steps...
Step 4.5.1.6.1.1
Multiply by .
Step 4.5.1.6.1.2
Multiply by .
Step 4.5.1.6.1.3
Multiply by .
Step 4.5.1.6.1.4
Rewrite using the commutative property of multiplication.
Step 4.5.1.6.1.5
Multiply by by adding the exponents.
Tap for more steps...
Step 4.5.1.6.1.5.1
Move .
Step 4.5.1.6.1.5.2
Multiply by .
Step 4.5.1.6.1.6
Multiply by .
Step 4.5.1.6.1.7
Multiply by .
Step 4.5.1.6.2
Subtract from .
Step 4.5.1.7
Multiply by .
Step 4.5.1.8
Apply the distributive property.
Step 4.5.1.9
Multiply by .
Step 4.5.1.10
Multiply by .
Step 4.5.1.11
Subtract from .
Step 4.5.1.12
Add and .
Step 4.5.1.13
Reorder terms.
Step 4.5.2
Multiply by .
Step 4.6
The final answer is the combination of both solutions.