Enter a problem...
Trigonometry Examples
Step 1
Create equivalent expressions in the equation that all have equal bases.
Step 2
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Step 3
Step 3.1
Simplify .
Step 3.1.1
Rewrite.
Step 3.1.2
Simplify by adding zeros.
Step 3.1.3
Apply the distributive property.
Step 3.1.4
Multiply.
Step 3.1.4.1
Multiply by .
Step 3.1.4.2
Multiply by .
Step 3.2
Subtract from both sides of the equation.
Step 3.3
Factor the left side of the equation.
Step 3.3.1
Factor out of .
Step 3.3.1.1
Reorder the expression.
Step 3.3.1.1.1
Move .
Step 3.3.1.1.2
Reorder and .
Step 3.3.1.2
Factor out of .
Step 3.3.1.3
Factor out of .
Step 3.3.1.4
Rewrite as .
Step 3.3.1.5
Factor out of .
Step 3.3.1.6
Factor out of .
Step 3.3.2
Factor using the perfect square rule.
Step 3.3.2.1
Rewrite as .
Step 3.3.2.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 3.3.2.3
Rewrite the polynomial.
Step 3.3.2.4
Factor using the perfect square trinomial rule , where and .
Step 3.4
Divide each term in by and simplify.
Step 3.4.1
Divide each term in by .
Step 3.4.2
Simplify the left side.
Step 3.4.2.1
Dividing two negative values results in a positive value.
Step 3.4.2.2
Divide by .
Step 3.4.3
Simplify the right side.
Step 3.4.3.1
Divide by .
Step 3.5
Set the equal to .
Step 3.6
Add to both sides of the equation.